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Finding the Fourth Proportional to 540.73, 807.43 and 474.35

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Solution

The fourth proportional to 540.73, 807.43 and 474.35 is: 708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.73 : 807.43 = 474.35 : x
  2. Step 2: Convert to fraction form
    540.73/807.43 = 474.35/x
  3. Step 3: Cross multiply
    540.73x = 807.43 × 474.35
  4. Step 4: Simplify right side
    540.73x = 383,000.38
  5. Step 5: Solve for x
    x = 383,000.38/540.73
  6. Step 6: Final answer
    x = 708.31

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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.