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Finding the Fourth Proportional to 877.79, 1,315.99 and 329.90

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Solution

The fourth proportional to 877.79, 1,315.99 and 329.90 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.79 : 1,315.99 = 329.90 : x
  2. Step 2: Convert to fraction form
    877.79/1,315.99 = 329.90/x
  3. Step 3: Cross multiply
    877.79x = 1,315.99 × 329.90
  4. Step 4: Simplify right side
    877.79x = 434,147.57
  5. Step 5: Solve for x
    x = 434,147.57/877.79
  6. Step 6: Final answer
    x = 494.59

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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.