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Finding the Fourth Proportional to 927.76, 1,280.88 and 578.92

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Solution

The fourth proportional to 927.76, 1,280.88 and 578.92 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.76 : 1,280.88 = 578.92 : x
  2. Step 2: Convert to fraction form
    927.76/1,280.88 = 578.92/x
  3. Step 3: Cross multiply
    927.76x = 1,280.88 × 578.92
  4. Step 4: Simplify right side
    927.76x = 741,527.05
  5. Step 5: Solve for x
    x = 741,527.05/927.76
  6. Step 6: Final answer
    x = 799.27

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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.