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Finding the Fourth Proportional to 460.34, 626.76 and 458.90

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Solution

The fourth proportional to 460.34, 626.76 and 458.90 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 626.76 = 458.90 : x
  2. Step 2: Convert to fraction form
    460.34/626.76 = 458.90/x
  3. Step 3: Cross multiply
    460.34x = 626.76 × 458.90
  4. Step 4: Simplify right side
    460.34x = 287,620.16
  5. Step 5: Solve for x
    x = 287,620.16/460.34
  6. Step 6: Final answer
    x = 624.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.