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Finding the Fourth Proportional to 614.84, 922.42 and 461.06

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Solution

The fourth proportional to 614.84, 922.42 and 461.06 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 922.42 = 461.06 : x
  2. Step 2: Convert to fraction form
    614.84/922.42 = 461.06/x
  3. Step 3: Cross multiply
    614.84x = 922.42 × 461.06
  4. Step 4: Simplify right side
    614.84x = 425,290.39
  5. Step 5: Solve for x
    x = 425,290.39/614.84
  6. Step 6: Final answer
    x = 691.71

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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.