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Finding the Fourth Proportional to 540.82, 810.17 and 502.85

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Solution

The fourth proportional to 540.82, 810.17 and 502.85 is: 753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 810.17 = 502.85 : x
  2. Step 2: Convert to fraction form
    540.82/810.17 = 502.85/x
  3. Step 3: Cross multiply
    540.82x = 810.17 × 502.85
  4. Step 4: Simplify right side
    540.82x = 407,391.47
  5. Step 5: Solve for x
    x = 407,391.47/540.82
  6. Step 6: Final answer
    x = 753.28

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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.