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Finding the Fourth Proportional to 458.64, 691.38 and 440.10

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Solution

The fourth proportional to 458.64, 691.38 and 440.10 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 691.38 = 440.10 : x
  2. Step 2: Convert to fraction form
    458.64/691.38 = 440.10/x
  3. Step 3: Cross multiply
    458.64x = 691.38 × 440.10
  4. Step 4: Simplify right side
    458.64x = 304,276.34
  5. Step 5: Solve for x
    x = 304,276.34/458.64
  6. Step 6: Final answer
    x = 663.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.