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Finding the Fourth Proportional to 715.49, 1,073.25 and 253.28

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Solution

The fourth proportional to 715.49, 1,073.25 and 253.28 is: 379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.49 : 1,073.25 = 253.28 : x
  2. Step 2: Convert to fraction form
    715.49/1,073.25 = 253.28/x
  3. Step 3: Cross multiply
    715.49x = 1,073.25 × 253.28
  4. Step 4: Simplify right side
    715.49x = 271,835.44
  5. Step 5: Solve for x
    x = 271,835.44/715.49
  6. Step 6: Final answer
    x = 379.93

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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.