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Finding the Fourth Proportional to 951.66, 1,426.95 and 642.78

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Solution

The fourth proportional to 951.66, 1,426.95 and 642.78 is: 963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.66 : 1,426.95 = 642.78 : x
  2. Step 2: Convert to fraction form
    951.66/1,426.95 = 642.78/x
  3. Step 3: Cross multiply
    951.66x = 1,426.95 × 642.78
  4. Step 4: Simplify right side
    951.66x = 917,214.92
  5. Step 5: Solve for x
    x = 917,214.92/951.66
  6. Step 6: Final answer
    x = 963.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.