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Finding the Fourth Proportional to 927.74, 1,280.32 and 534.76

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Solution

The fourth proportional to 927.74, 1,280.32 and 534.76 is: 737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,280.32 = 534.76 : x
  2. Step 2: Convert to fraction form
    927.74/1,280.32 = 534.76/x
  3. Step 3: Cross multiply
    927.74x = 1,280.32 × 534.76
  4. Step 4: Simplify right side
    927.74x = 684,663.92
  5. Step 5: Solve for x
    x = 684,663.92/927.74
  6. Step 6: Final answer
    x = 737.99

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Double scale
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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.