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Finding the Fourth Proportional to 877.20, 1,208.71 and 596.95

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Solution

The fourth proportional to 877.20, 1,208.71 and 596.95 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,208.71 = 596.95 : x
  2. Step 2: Convert to fraction form
    877.20/1,208.71 = 596.95/x
  3. Step 3: Cross multiply
    877.20x = 1,208.71 × 596.95
  4. Step 4: Simplify right side
    877.20x = 721,530.41
  5. Step 5: Solve for x
    x = 721,530.41/877.20
  6. Step 6: Final answer
    x = 822.54

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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.