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Finding the Fourth Proportional to 614.48, 920.88 and 477.68

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Solution

The fourth proportional to 614.48, 920.88 and 477.68 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 920.88 = 477.68 : x
  2. Step 2: Convert to fraction form
    614.48/920.88 = 477.68/x
  3. Step 3: Cross multiply
    614.48x = 920.88 × 477.68
  4. Step 4: Simplify right side
    614.48x = 439,885.96
  5. Step 5: Solve for x
    x = 439,885.96/614.48
  6. Step 6: Final answer
    x = 715.87

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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.