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Finding the Fourth Proportional to 713.89, 1,071.14 and 280.95

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Solution

The fourth proportional to 713.89, 1,071.14 and 280.95 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.89 : 1,071.14 = 280.95 : x
  2. Step 2: Convert to fraction form
    713.89/1,071.14 = 280.95/x
  3. Step 3: Cross multiply
    713.89x = 1,071.14 × 280.95
  4. Step 4: Simplify right side
    713.89x = 300,936.78
  5. Step 5: Solve for x
    x = 300,936.78/713.89
  6. Step 6: Final answer
    x = 421.55

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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.