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Finding the Fourth Proportional to 927.52, 1,396.76 and 807.23

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Solution

The fourth proportional to 927.52, 1,396.76 and 807.23 is: 1,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.52 : 1,396.76 = 807.23 : x
  2. Step 2: Convert to fraction form
    927.52/1,396.76 = 807.23/x
  3. Step 3: Cross multiply
    927.52x = 1,396.76 × 807.23
  4. Step 4: Simplify right side
    927.52x = 1,127,506.57
  5. Step 5: Solve for x
    x = 1,127,506.57/927.52
  6. Step 6: Final answer
    x = 1,215.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.