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Finding the Fourth Proportional to 961.50, 1,326.90 and 568.86

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Solution

The fourth proportional to 961.50, 1,326.90 and 568.86 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.50 : 1,326.90 = 568.86 : x
  2. Step 2: Convert to fraction form
    961.50/1,326.90 = 568.86/x
  3. Step 3: Cross multiply
    961.50x = 1,326.90 × 568.86
  4. Step 4: Simplify right side
    961.50x = 754,820.33
  5. Step 5: Solve for x
    x = 754,820.33/961.50
  6. Step 6: Final answer
    x = 785.04

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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.