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Finding the Fourth Proportional to 614.20, 921.84 and 460.32

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Solution

The fourth proportional to 614.20, 921.84 and 460.32 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 921.84 = 460.32 : x
  2. Step 2: Convert to fraction form
    614.20/921.84 = 460.32/x
  3. Step 3: Cross multiply
    614.20x = 921.84 × 460.32
  4. Step 4: Simplify right side
    614.20x = 424,341.39
  5. Step 5: Solve for x
    x = 424,341.39/614.20
  6. Step 6: Final answer
    x = 690.88

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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.