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Finding the Fourth Proportional to 877.59, 1,316.03 and 329.76

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Solution

The fourth proportional to 877.59, 1,316.03 and 329.76 is: 494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.59 : 1,316.03 = 329.76 : x
  2. Step 2: Convert to fraction form
    877.59/1,316.03 = 329.76/x
  3. Step 3: Cross multiply
    877.59x = 1,316.03 × 329.76
  4. Step 4: Simplify right side
    877.59x = 433,972.40
  5. Step 5: Solve for x
    x = 433,972.40/877.59
  6. Step 6: Final answer
    x = 494.50

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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.