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Finding the Fourth Proportional to 715.62, 1,073.52 and 253.68

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Solution

The fourth proportional to 715.62, 1,073.52 and 253.68 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,073.52 = 253.68 : x
  2. Step 2: Convert to fraction form
    715.62/1,073.52 = 253.68/x
  3. Step 3: Cross multiply
    715.62x = 1,073.52 × 253.68
  4. Step 4: Simplify right side
    715.62x = 272,330.55
  5. Step 5: Solve for x
    x = 272,330.55/715.62
  6. Step 6: Final answer
    x = 380.55

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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.