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Finding the Fourth Proportional to 540.33, 807.84 and 458.97

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Solution

The fourth proportional to 540.33, 807.84 and 458.97 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 807.84 = 458.97 : x
  2. Step 2: Convert to fraction form
    540.33/807.84 = 458.97/x
  3. Step 3: Cross multiply
    540.33x = 807.84 × 458.97
  4. Step 4: Simplify right side
    540.33x = 370,774.32
  5. Step 5: Solve for x
    x = 370,774.32/540.33
  6. Step 6: Final answer
    x = 686.20

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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.