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Finding the Fourth Proportional to 877.98, 1,211.69 and 485.13

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Solution

The fourth proportional to 877.98, 1,211.69 and 485.13 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.98 : 1,211.69 = 485.13 : x
  2. Step 2: Convert to fraction form
    877.98/1,211.69 = 485.13/x
  3. Step 3: Cross multiply
    877.98x = 1,211.69 × 485.13
  4. Step 4: Simplify right side
    877.98x = 587,818.69
  5. Step 5: Solve for x
    x = 587,818.69/877.98
  6. Step 6: Final answer
    x = 669.52

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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.