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Finding the Fourth Proportional to 715.45, 1,073.31 and 253.27

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Solution

The fourth proportional to 715.45, 1,073.31 and 253.27 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.45 : 1,073.31 = 253.27 : x
  2. Step 2: Convert to fraction form
    715.45/1,073.31 = 253.27/x
  3. Step 3: Cross multiply
    715.45x = 1,073.31 × 253.27
  4. Step 4: Simplify right side
    715.45x = 271,837.22
  5. Step 5: Solve for x
    x = 271,837.22/715.45
  6. Step 6: Final answer
    x = 379.95

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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.