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Finding the Fourth Proportional to 713.80, 984.31 and 503.88

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Solution

The fourth proportional to 713.80, 984.31 and 503.88 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 984.31 = 503.88 : x
  2. Step 2: Convert to fraction form
    713.80/984.31 = 503.88/x
  3. Step 3: Cross multiply
    713.80x = 984.31 × 503.88
  4. Step 4: Simplify right side
    713.80x = 495,974.12
  5. Step 5: Solve for x
    x = 495,974.12/713.80
  6. Step 6: Final answer
    x = 694.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.