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Finding the Fourth Proportional to 1,160.57, 1,740.81 and 430.13

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Solution

The fourth proportional to 1,160.57, 1,740.81 and 430.13 is: 645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.57 : 1,740.81 = 430.13 : x
  2. Step 2: Convert to fraction form
    1,160.57/1,740.81 = 430.13/x
  3. Step 3: Cross multiply
    1,160.57x = 1,740.81 × 430.13
  4. Step 4: Simplify right side
    1,160.57x = 748,774.61
  5. Step 5: Solve for x
    x = 748,774.61/1,160.57
  6. Step 6: Final answer
    x = 645.18

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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.