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Finding the Fourth Proportional to 545.02, 819.96 and 497.23

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Solution

The fourth proportional to 545.02, 819.96 and 497.23 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 819.96 = 497.23 : x
  2. Step 2: Convert to fraction form
    545.02/819.96 = 497.23/x
  3. Step 3: Cross multiply
    545.02x = 819.96 × 497.23
  4. Step 4: Simplify right side
    545.02x = 407,708.71
  5. Step 5: Solve for x
    x = 407,708.71/545.02
  6. Step 6: Final answer
    x = 748.06

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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.