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Finding the Fourth Proportional to 614.44, 920.80 and 476.85

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Solution

The fourth proportional to 614.44, 920.80 and 476.85 is: 714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.44 : 920.80 = 476.85 : x
  2. Step 2: Convert to fraction form
    614.44/920.80 = 476.85/x
  3. Step 3: Cross multiply
    614.44x = 920.80 × 476.85
  4. Step 4: Simplify right side
    614.44x = 439,083.48
  5. Step 5: Solve for x
    x = 439,083.48/614.44
  6. Step 6: Final answer
    x = 714.61

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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.