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Finding the Fourth Proportional to 927.38, 1,396.58 and 807.10

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Solution

The fourth proportional to 927.38, 1,396.58 and 807.10 is: 1,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.38 : 1,396.58 = 807.10 : x
  2. Step 2: Convert to fraction form
    927.38/1,396.58 = 807.10/x
  3. Step 3: Cross multiply
    927.38x = 1,396.58 × 807.10
  4. Step 4: Simplify right side
    927.38x = 1,127,172.19
  5. Step 5: Solve for x
    x = 1,127,172.19/927.38
  6. Step 6: Final answer
    x = 1,215.43

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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.