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Finding the Fourth Proportional to 925.98, 1,278.42 and 715.74

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Solution

The fourth proportional to 925.98, 1,278.42 and 715.74 is: 988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.98 : 1,278.42 = 715.74 : x
  2. Step 2: Convert to fraction form
    925.98/1,278.42 = 715.74/x
  3. Step 3: Cross multiply
    925.98x = 1,278.42 × 715.74
  4. Step 4: Simplify right side
    925.98x = 915,016.33
  5. Step 5: Solve for x
    x = 915,016.33/925.98
  6. Step 6: Final answer
    x = 988.16

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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.