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Finding the Fourth Proportional to 877.67, 1,211.16 and 484.69

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Solution

The fourth proportional to 877.67, 1,211.16 and 484.69 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.67 : 1,211.16 = 484.69 : x
  2. Step 2: Convert to fraction form
    877.67/1,211.16 = 484.69/x
  3. Step 3: Cross multiply
    877.67x = 1,211.16 × 484.69
  4. Step 4: Simplify right side
    877.67x = 587,031.08
  5. Step 5: Solve for x
    x = 587,031.08/877.67
  6. Step 6: Final answer
    x = 668.85

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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.