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Finding the Fourth Proportional to 1,170.16, 1,755.29 and 390.22

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Solution

The fourth proportional to 1,170.16, 1,755.29 and 390.22 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.16 : 1,755.29 = 390.22 : x
  2. Step 2: Convert to fraction form
    1,170.16/1,755.29 = 390.22/x
  3. Step 3: Cross multiply
    1,170.16x = 1,755.29 × 390.22
  4. Step 4: Simplify right side
    1,170.16x = 684,949.26
  5. Step 5: Solve for x
    x = 684,949.26/1,170.16
  6. Step 6: Final answer
    x = 585.35

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Double scale
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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.