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Finding the Fourth Proportional to 595.40, 891.96 and 458.24

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Solution

The fourth proportional to 595.40, 891.96 and 458.24 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 891.96 = 458.24 : x
  2. Step 2: Convert to fraction form
    595.40/891.96 = 458.24/x
  3. Step 3: Cross multiply
    595.40x = 891.96 × 458.24
  4. Step 4: Simplify right side
    595.40x = 408,731.75
  5. Step 5: Solve for x
    x = 408,731.75/595.40
  6. Step 6: Final answer
    x = 686.48

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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.