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Finding the Fourth Proportional to 927.89, 1,280.37 and 554.78

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Solution

The fourth proportional to 927.89, 1,280.37 and 554.78 is: 765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.89 : 1,280.37 = 554.78 : x
  2. Step 2: Convert to fraction form
    927.89/1,280.37 = 554.78/x
  3. Step 3: Cross multiply
    927.89x = 1,280.37 × 554.78
  4. Step 4: Simplify right side
    927.89x = 710,317.27
  5. Step 5: Solve for x
    x = 710,317.27/927.89
  6. Step 6: Final answer
    x = 765.52

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1.5x scale

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.