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Finding the Fourth Proportional to 713.53, 984.66 and 503.48

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Solution

The fourth proportional to 713.53, 984.66 and 503.48 is: 694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 984.66 = 503.48 : x
  2. Step 2: Convert to fraction form
    713.53/984.66 = 503.48/x
  3. Step 3: Cross multiply
    713.53x = 984.66 × 503.48
  4. Step 4: Simplify right side
    713.53x = 495,757.19
  5. Step 5: Solve for x
    x = 495,757.19/713.53
  6. Step 6: Final answer
    x = 694.79

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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.