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Finding the Fourth Proportional to 877.53, 1,210.45 and 523.21

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Solution

The fourth proportional to 877.53, 1,210.45 and 523.21 is: 721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.53 : 1,210.45 = 523.21 : x
  2. Step 2: Convert to fraction form
    877.53/1,210.45 = 523.21/x
  3. Step 3: Cross multiply
    877.53x = 1,210.45 × 523.21
  4. Step 4: Simplify right side
    877.53x = 633,316.93
  5. Step 5: Solve for x
    x = 633,316.93/877.53
  6. Step 6: Final answer
    x = 721.71

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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.