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Finding the Fourth Proportional to 713.74, 984.94 and 415.02

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Solution

The fourth proportional to 713.74, 984.94 and 415.02 is: 572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.74 : 984.94 = 415.02 : x
  2. Step 2: Convert to fraction form
    713.74/984.94 = 415.02/x
  3. Step 3: Cross multiply
    713.74x = 984.94 × 415.02
  4. Step 4: Simplify right side
    713.74x = 408,769.80
  5. Step 5: Solve for x
    x = 408,769.80/713.74
  6. Step 6: Final answer
    x = 572.72

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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.