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Finding the Fourth Proportional to 614.78, 921.86 and 229.76

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Solution

The fourth proportional to 614.78, 921.86 and 229.76 is: 344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 921.86 = 229.76 : x
  2. Step 2: Convert to fraction form
    614.78/921.86 = 229.76/x
  3. Step 3: Cross multiply
    614.78x = 921.86 × 229.76
  4. Step 4: Simplify right side
    614.78x = 211,806.55
  5. Step 5: Solve for x
    x = 211,806.55/614.78
  6. Step 6: Final answer
    x = 344.52

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Double scale
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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.