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Finding the Fourth Proportional to 634.84, 951.17 and 570.64

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Solution

The fourth proportional to 634.84, 951.17 and 570.64 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.84 : 951.17 = 570.64 : x
  2. Step 2: Convert to fraction form
    634.84/951.17 = 570.64/x
  3. Step 3: Cross multiply
    634.84x = 951.17 × 570.64
  4. Step 4: Simplify right side
    634.84x = 542,772.80
  5. Step 5: Solve for x
    x = 542,772.80/634.84
  6. Step 6: Final answer
    x = 854.98

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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.