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Finding the Fourth Proportional to 478.80, 713.10 and 461.79

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Solution

The fourth proportional to 478.80, 713.10 and 461.79 is: 687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 713.10 = 461.79 : x
  2. Step 2: Convert to fraction form
    478.80/713.10 = 461.79/x
  3. Step 3: Cross multiply
    478.80x = 713.10 × 461.79
  4. Step 4: Simplify right side
    478.80x = 329,302.45
  5. Step 5: Solve for x
    x = 329,302.45/478.80
  6. Step 6: Final answer
    x = 687.77

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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.