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Finding the Fourth Proportional to 694.72, 958.24 and 458.20

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Solution

The fourth proportional to 694.72, 958.24 and 458.20 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.72 : 958.24 = 458.20 : x
  2. Step 2: Convert to fraction form
    694.72/958.24 = 458.20/x
  3. Step 3: Cross multiply
    694.72x = 958.24 × 458.20
  4. Step 4: Simplify right side
    694.72x = 439,065.57
  5. Step 5: Solve for x
    x = 439,065.57/694.72
  6. Step 6: Final answer
    x = 632.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.