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Finding the Fourth Proportional to 877.47, 1,211.16 and 523.65

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Solution

The fourth proportional to 877.47, 1,211.16 and 523.65 is: 722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.47 : 1,211.16 = 523.65 : x
  2. Step 2: Convert to fraction form
    877.47/1,211.16 = 523.65/x
  3. Step 3: Cross multiply
    877.47x = 1,211.16 × 523.65
  4. Step 4: Simplify right side
    877.47x = 634,223.93
  5. Step 5: Solve for x
    x = 634,223.93/877.47
  6. Step 6: Final answer
    x = 722.79

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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.