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Finding the Fourth Proportional to 927.76, 1,385.79 and 678.76

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Solution

The fourth proportional to 927.76, 1,385.79 and 678.76 is: 1,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.76 : 1,385.79 = 678.76 : x
  2. Step 2: Convert to fraction form
    927.76/1,385.79 = 678.76/x
  3. Step 3: Cross multiply
    927.76x = 1,385.79 × 678.76
  4. Step 4: Simplify right side
    927.76x = 940,618.82
  5. Step 5: Solve for x
    x = 940,618.82/927.76
  6. Step 6: Final answer
    x = 1,013.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.