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Finding the Fourth Proportional to 540.65, 807.20 and 467.43

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Solution

The fourth proportional to 540.65, 807.20 and 467.43 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.65 : 807.20 = 467.43 : x
  2. Step 2: Convert to fraction form
    540.65/807.20 = 467.43/x
  3. Step 3: Cross multiply
    540.65x = 807.20 × 467.43
  4. Step 4: Simplify right side
    540.65x = 377,307.16
  5. Step 5: Solve for x
    x = 377,307.16/540.65
  6. Step 6: Final answer
    x = 697.88

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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.