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Finding the Fourth Proportional to 462.62, 689.48 and 458.80

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Solution

The fourth proportional to 462.62, 689.48 and 458.80 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.62 : 689.48 = 458.80 : x
  2. Step 2: Convert to fraction form
    462.62/689.48 = 458.80/x
  3. Step 3: Cross multiply
    462.62x = 689.48 × 458.80
  4. Step 4: Simplify right side
    462.62x = 316,333.42
  5. Step 5: Solve for x
    x = 316,333.42/462.62
  6. Step 6: Final answer
    x = 683.79

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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.