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Finding the Fourth Proportional to 713.60, 1,069.05 and 424.70

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Solution

The fourth proportional to 713.60, 1,069.05 and 424.70 is: 636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 1,069.05 = 424.70 : x
  2. Step 2: Convert to fraction form
    713.60/1,069.05 = 424.70/x
  3. Step 3: Cross multiply
    713.60x = 1,069.05 × 424.70
  4. Step 4: Simplify right side
    713.60x = 454,025.54
  5. Step 5: Solve for x
    x = 454,025.54/713.60
  6. Step 6: Final answer
    x = 636.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.