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Finding the Fourth Proportional to 614.60, 922.66 and 285.86

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Solution

The fourth proportional to 614.60, 922.66 and 285.86 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 922.66 = 285.86 : x
  2. Step 2: Convert to fraction form
    614.60/922.66 = 285.86/x
  3. Step 3: Cross multiply
    614.60x = 922.66 × 285.86
  4. Step 4: Simplify right side
    614.60x = 263,753.18
  5. Step 5: Solve for x
    x = 263,753.18/614.60
  6. Step 6: Final answer
    x = 429.14

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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.