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Finding the Fourth Proportional to 925.90, 1,275.15 and 905.74

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Solution

The fourth proportional to 925.90, 1,275.15 and 905.74 is: 1,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.90 : 1,275.15 = 905.74 : x
  2. Step 2: Convert to fraction form
    925.90/1,275.15 = 905.74/x
  3. Step 3: Cross multiply
    925.90x = 1,275.15 × 905.74
  4. Step 4: Simplify right side
    925.90x = 1,154,954.36
  5. Step 5: Solve for x
    x = 1,154,954.36/925.90
  6. Step 6: Final answer
    x = 1,247.39

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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.