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Finding the Fourth Proportional to 614.74, 923.33 and 383.76

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Solution

The fourth proportional to 614.74, 923.33 and 383.76 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.74 : 923.33 = 383.76 : x
  2. Step 2: Convert to fraction form
    614.74/923.33 = 383.76/x
  3. Step 3: Cross multiply
    614.74x = 923.33 × 383.76
  4. Step 4: Simplify right side
    614.74x = 354,337.12
  5. Step 5: Solve for x
    x = 354,337.12/614.74
  6. Step 6: Final answer
    x = 576.40

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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.