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Finding the Fourth Proportional to 537.40, 807.90 and 458.20

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Solution

The fourth proportional to 537.40, 807.90 and 458.20 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 807.90 = 458.20 : x
  2. Step 2: Convert to fraction form
    537.40/807.90 = 458.20/x
  3. Step 3: Cross multiply
    537.40x = 807.90 × 458.20
  4. Step 4: Simplify right side
    537.40x = 370,179.78
  5. Step 5: Solve for x
    x = 370,179.78/537.40
  6. Step 6: Final answer
    x = 688.83

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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.