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Finding the Fourth Proportional to 1,170.24, 1,755.62 and 390.28

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Solution

The fourth proportional to 1,170.24, 1,755.62 and 390.28 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.24 : 1,755.62 = 390.28 : x
  2. Step 2: Convert to fraction form
    1,170.24/1,755.62 = 390.28/x
  3. Step 3: Cross multiply
    1,170.24x = 1,755.62 × 390.28
  4. Step 4: Simplify right side
    1,170.24x = 685,183.37
  5. Step 5: Solve for x
    x = 685,183.37/1,170.24
  6. Step 6: Final answer
    x = 585.51

Related Problems

Find fourth proportional to 585.12, 877.81 and 195.14
Half scale
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Double scale
Find fourth proportional to 1,171.24, 1,757.12 and 391.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.