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Finding the Fourth Proportional to 545.14, 816.51 and 502.46

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Solution

The fourth proportional to 545.14, 816.51 and 502.46 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 816.51 = 502.46 : x
  2. Step 2: Convert to fraction form
    545.14/816.51 = 502.46/x
  3. Step 3: Cross multiply
    545.14x = 816.51 × 502.46
  4. Step 4: Simplify right side
    545.14x = 410,266.91
  5. Step 5: Solve for x
    x = 410,266.91/545.14
  6. Step 6: Final answer
    x = 752.59

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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.