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Finding the Fourth Proportional to 877.25, 1,315.09 and 414.74

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Solution

The fourth proportional to 877.25, 1,315.09 and 414.74 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.25 : 1,315.09 = 414.74 : x
  2. Step 2: Convert to fraction form
    877.25/1,315.09 = 414.74/x
  3. Step 3: Cross multiply
    877.25x = 1,315.09 × 414.74
  4. Step 4: Simplify right side
    877.25x = 545,414.50
  5. Step 5: Solve for x
    x = 545,414.50/877.25
  6. Step 6: Final answer
    x = 621.73

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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.