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Finding the Fourth Proportional to 614.89, 921.45 and 458.01

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Solution

The fourth proportional to 614.89, 921.45 and 458.01 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.89 : 921.45 = 458.01 : x
  2. Step 2: Convert to fraction form
    614.89/921.45 = 458.01/x
  3. Step 3: Cross multiply
    614.89x = 921.45 × 458.01
  4. Step 4: Simplify right side
    614.89x = 422,029.85
  5. Step 5: Solve for x
    x = 422,029.85/614.89
  6. Step 6: Final answer
    x = 686.35

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Similar ratio
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1.5x scale

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.