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Finding the Fourth Proportional to 927.89, 1,280.60 and 534.91

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Solution

The fourth proportional to 927.89, 1,280.60 and 534.91 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.89 : 1,280.60 = 534.91 : x
  2. Step 2: Convert to fraction form
    927.89/1,280.60 = 534.91/x
  3. Step 3: Cross multiply
    927.89x = 1,280.60 × 534.91
  4. Step 4: Simplify right side
    927.89x = 685,005.75
  5. Step 5: Solve for x
    x = 685,005.75/927.89
  6. Step 6: Final answer
    x = 738.24

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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.