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Finding the Fourth Proportional to 540.94, 807.49 and 502.90

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Solution

The fourth proportional to 540.94, 807.49 and 502.90 is: 750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 807.49 = 502.90 : x
  2. Step 2: Convert to fraction form
    540.94/807.49 = 502.90/x
  3. Step 3: Cross multiply
    540.94x = 807.49 × 502.90
  4. Step 4: Simplify right side
    540.94x = 406,086.72
  5. Step 5: Solve for x
    x = 406,086.72/540.94
  6. Step 6: Final answer
    x = 750.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.