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Finding the Fourth Proportional to 732.13, 1,009.57 and 545.32

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Solution

The fourth proportional to 732.13, 1,009.57 and 545.32 is: 751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.13 : 1,009.57 = 545.32 : x
  2. Step 2: Convert to fraction form
    732.13/1,009.57 = 545.32/x
  3. Step 3: Cross multiply
    732.13x = 1,009.57 × 545.32
  4. Step 4: Simplify right side
    732.13x = 550,538.71
  5. Step 5: Solve for x
    x = 550,538.71/732.13
  6. Step 6: Final answer
    x = 751.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.