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Finding the Fourth Proportional to 458.71, 637.27 and 454.41

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Solution

The fourth proportional to 458.71, 637.27 and 454.41 is: 631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.71 : 637.27 = 454.41 : x
  2. Step 2: Convert to fraction form
    458.71/637.27 = 454.41/x
  3. Step 3: Cross multiply
    458.71x = 637.27 × 454.41
  4. Step 4: Simplify right side
    458.71x = 289,580.72
  5. Step 5: Solve for x
    x = 289,580.72/458.71
  6. Step 6: Final answer
    x = 631.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.