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Finding the Fourth Proportional to 914, 1,371.28 and 458

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Solution

The fourth proportional to 914, 1,371.28 and 458 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,371.28 = 458 : x
  2. Step 2: Convert to fraction form
    914/1,371.28 = 458/x
  3. Step 3: Cross multiply
    914x = 1,371.28 × 458
  4. Step 4: Simplify right side
    914x = 628,046.24
  5. Step 5: Solve for x
    x = 628,046.24/914
  6. Step 6: Final answer
    x = 687.14

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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.