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Finding the Fourth Proportional to 927.46, 1,277.74 and 643.61

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Solution

The fourth proportional to 927.46, 1,277.74 and 643.61 is: 886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.46 : 1,277.74 = 643.61 : x
  2. Step 2: Convert to fraction form
    927.46/1,277.74 = 643.61/x
  3. Step 3: Cross multiply
    927.46x = 1,277.74 × 643.61
  4. Step 4: Simplify right side
    927.46x = 822,360.66
  5. Step 5: Solve for x
    x = 822,360.66/927.46
  6. Step 6: Final answer
    x = 886.68

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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.