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Finding the Fourth Proportional to 713.49, 984.29 and 503.67

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Solution

The fourth proportional to 713.49, 984.29 and 503.67 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.49 : 984.29 = 503.67 : x
  2. Step 2: Convert to fraction form
    713.49/984.29 = 503.67/x
  3. Step 3: Cross multiply
    713.49x = 984.29 × 503.67
  4. Step 4: Simplify right side
    713.49x = 495,754.83
  5. Step 5: Solve for x
    x = 495,754.83/713.49
  6. Step 6: Final answer
    x = 694.83

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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.