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Finding the Fourth Proportional to 927.15, 1,280.70 and 861.54

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Solution

The fourth proportional to 927.15, 1,280.70 and 861.54 is: 1,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.15 : 1,280.70 = 861.54 : x
  2. Step 2: Convert to fraction form
    927.15/1,280.70 = 861.54/x
  3. Step 3: Cross multiply
    927.15x = 1,280.70 × 861.54
  4. Step 4: Simplify right side
    927.15x = 1,103,374.28
  5. Step 5: Solve for x
    x = 1,103,374.28/927.15
  6. Step 6: Final answer
    x = 1,190.07

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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.