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Finding the Fourth Proportional to 877.97, 1,211.76 and 505.19

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Solution

The fourth proportional to 877.97, 1,211.76 and 505.19 is: 697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.97 : 1,211.76 = 505.19 : x
  2. Step 2: Convert to fraction form
    877.97/1,211.76 = 505.19/x
  3. Step 3: Cross multiply
    877.97x = 1,211.76 × 505.19
  4. Step 4: Simplify right side
    877.97x = 612,162.98
  5. Step 5: Solve for x
    x = 612,162.98/877.97
  6. Step 6: Final answer
    x = 697.25

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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.