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Finding the Fourth Proportional to 951.84, 1,314.72 and 820.80

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Solution

The fourth proportional to 951.84, 1,314.72 and 820.80 is: 1,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,314.72 = 820.80 : x
  2. Step 2: Convert to fraction form
    951.84/1,314.72 = 820.80/x
  3. Step 3: Cross multiply
    951.84x = 1,314.72 × 820.80
  4. Step 4: Simplify right side
    951.84x = 1,079,122.18
  5. Step 5: Solve for x
    x = 1,079,122.18/951.84
  6. Step 6: Final answer
    x = 1,133.72

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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.