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Finding the Fourth Proportional to 925.88, 1,275.58 and 761.14

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Solution

The fourth proportional to 925.88, 1,275.58 and 761.14 is: 1,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.88 : 1,275.58 = 761.14 : x
  2. Step 2: Convert to fraction form
    925.88/1,275.58 = 761.14/x
  3. Step 3: Cross multiply
    925.88x = 1,275.58 × 761.14
  4. Step 4: Simplify right side
    925.88x = 970,894.96
  5. Step 5: Solve for x
    x = 970,894.96/925.88
  6. Step 6: Final answer
    x = 1,048.62

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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.