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Finding the Fourth Proportional to 877.27, 1,314.78 and 465.79

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Solution

The fourth proportional to 877.27, 1,314.78 and 465.79 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.27 : 1,314.78 = 465.79 : x
  2. Step 2: Convert to fraction form
    877.27/1,314.78 = 465.79/x
  3. Step 3: Cross multiply
    877.27x = 1,314.78 × 465.79
  4. Step 4: Simplify right side
    877.27x = 612,411.38
  5. Step 5: Solve for x
    x = 612,411.38/877.27
  6. Step 6: Final answer
    x = 698.09

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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.