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Finding the Fourth Proportional to 973.20, 1,344.96 and 725.34

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Solution

The fourth proportional to 973.20, 1,344.96 and 725.34 is: 1,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,344.96 = 725.34 : x
  2. Step 2: Convert to fraction form
    973.20/1,344.96 = 725.34/x
  3. Step 3: Cross multiply
    973.20x = 1,344.96 × 725.34
  4. Step 4: Simplify right side
    973.20x = 975,553.29
  5. Step 5: Solve for x
    x = 975,553.29/973.20
  6. Step 6: Final answer
    x = 1,002.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.