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Finding the Fourth Proportional to 478.85, 712.96 and 476.15

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Solution

The fourth proportional to 478.85, 712.96 and 476.15 is: 708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.85 : 712.96 = 476.15 : x
  2. Step 2: Convert to fraction form
    478.85/712.96 = 476.15/x
  3. Step 3: Cross multiply
    478.85x = 712.96 × 476.15
  4. Step 4: Simplify right side
    478.85x = 339,475.90
  5. Step 5: Solve for x
    x = 339,475.90/478.85
  6. Step 6: Final answer
    x = 708.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.