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Finding the Fourth Proportional to 713.50, 984.72 and 403

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Solution

The fourth proportional to 713.50, 984.72 and 403 is: 556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 984.72 = 403 : x
  2. Step 2: Convert to fraction form
    713.50/984.72 = 403/x
  3. Step 3: Cross multiply
    713.50x = 984.72 × 403
  4. Step 4: Simplify right side
    713.50x = 396,842.16
  5. Step 5: Solve for x
    x = 396,842.16/713.50
  6. Step 6: Final answer
    x = 556.19

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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.