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Finding the Fourth Proportional to 634.85, 956.30 and 577.44

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Solution

The fourth proportional to 634.85, 956.30 and 577.44 is: 869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.85 : 956.30 = 577.44 : x
  2. Step 2: Convert to fraction form
    634.85/956.30 = 577.44/x
  3. Step 3: Cross multiply
    634.85x = 956.30 × 577.44
  4. Step 4: Simplify right side
    634.85x = 552,205.38
  5. Step 5: Solve for x
    x = 552,205.38/634.85
  6. Step 6: Final answer
    x = 869.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.