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Finding the Fourth Proportional to 1,160.77, 1,739.93 and 380.57

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Solution

The fourth proportional to 1,160.77, 1,739.93 and 380.57 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.77 : 1,739.93 = 380.57 : x
  2. Step 2: Convert to fraction form
    1,160.77/1,739.93 = 380.57/x
  3. Step 3: Cross multiply
    1,160.77x = 1,739.93 × 380.57
  4. Step 4: Simplify right side
    1,160.77x = 662,158.40
  5. Step 5: Solve for x
    x = 662,158.40/1,160.77
  6. Step 6: Final answer
    x = 570.45

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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.