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Finding the Fourth Proportional to 713.59, 1,069.76 and 251.30

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Solution

The fourth proportional to 713.59, 1,069.76 and 251.30 is: 376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.59 : 1,069.76 = 251.30 : x
  2. Step 2: Convert to fraction form
    713.59/1,069.76 = 251.30/x
  3. Step 3: Cross multiply
    713.59x = 1,069.76 × 251.30
  4. Step 4: Simplify right side
    713.59x = 268,830.69
  5. Step 5: Solve for x
    x = 268,830.69/713.59
  6. Step 6: Final answer
    x = 376.73

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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.