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Finding the Fourth Proportional to 927.27, 1,397.63 and 877.15

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Solution

The fourth proportional to 927.27, 1,397.63 and 877.15 is: 1,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.27 : 1,397.63 = 877.15 : x
  2. Step 2: Convert to fraction form
    927.27/1,397.63 = 877.15/x
  3. Step 3: Cross multiply
    927.27x = 1,397.63 × 877.15
  4. Step 4: Simplify right side
    927.27x = 1,225,936.56
  5. Step 5: Solve for x
    x = 1,225,936.56/927.27
  6. Step 6: Final answer
    x = 1,322.09

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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.