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Finding the Fourth Proportional to 877.22, 1,210.88 and 596.86

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Solution

The fourth proportional to 877.22, 1,210.88 and 596.86 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.22 : 1,210.88 = 596.86 : x
  2. Step 2: Convert to fraction form
    877.22/1,210.88 = 596.86/x
  3. Step 3: Cross multiply
    877.22x = 1,210.88 × 596.86
  4. Step 4: Simplify right side
    877.22x = 722,719.83
  5. Step 5: Solve for x
    x = 722,719.83/877.22
  6. Step 6: Final answer
    x = 823.87

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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.