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Finding the Fourth Proportional to 707.49, 1,062.15 and 545.28

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Solution

The fourth proportional to 707.49, 1,062.15 and 545.28 is: 818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.49 : 1,062.15 = 545.28 : x
  2. Step 2: Convert to fraction form
    707.49/1,062.15 = 545.28/x
  3. Step 3: Cross multiply
    707.49x = 1,062.15 × 545.28
  4. Step 4: Simplify right side
    707.49x = 579,169.15
  5. Step 5: Solve for x
    x = 579,169.15/707.49
  6. Step 6: Final answer
    x = 818.63

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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.