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Finding the Fourth Proportional to 926.28, 1,390.30 and 754.92

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Solution

The fourth proportional to 926.28, 1,390.30 and 754.92 is: 1,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.28 : 1,390.30 = 754.92 : x
  2. Step 2: Convert to fraction form
    926.28/1,390.30 = 754.92/x
  3. Step 3: Cross multiply
    926.28x = 1,390.30 × 754.92
  4. Step 4: Simplify right side
    926.28x = 1,049,565.28
  5. Step 5: Solve for x
    x = 1,049,565.28/926.28
  6. Step 6: Final answer
    x = 1,133.10

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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.