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Finding the Fourth Proportional to 877.48, 1,314.24 and 680.91

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Solution

The fourth proportional to 877.48, 1,314.24 and 680.91 is: 1,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.48 : 1,314.24 = 680.91 : x
  2. Step 2: Convert to fraction form
    877.48/1,314.24 = 680.91/x
  3. Step 3: Cross multiply
    877.48x = 1,314.24 × 680.91
  4. Step 4: Simplify right side
    877.48x = 894,879.16
  5. Step 5: Solve for x
    x = 894,879.16/877.48
  6. Step 6: Final answer
    x = 1,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.