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Finding the Fourth Proportional to 667.24, 999.51 and 458.35

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Solution

The fourth proportional to 667.24, 999.51 and 458.35 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.24 : 999.51 = 458.35 : x
  2. Step 2: Convert to fraction form
    667.24/999.51 = 458.35/x
  3. Step 3: Cross multiply
    667.24x = 999.51 × 458.35
  4. Step 4: Simplify right side
    667.24x = 458,125.41
  5. Step 5: Solve for x
    x = 458,125.41/667.24
  6. Step 6: Final answer
    x = 686.60

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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.