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Finding the Fourth Proportional to 877.75, 1,317.12 and 329.95

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Solution

The fourth proportional to 877.75, 1,317.12 and 329.95 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.75 : 1,317.12 = 329.95 : x
  2. Step 2: Convert to fraction form
    877.75/1,317.12 = 329.95/x
  3. Step 3: Cross multiply
    877.75x = 1,317.12 × 329.95
  4. Step 4: Simplify right side
    877.75x = 434,583.74
  5. Step 5: Solve for x
    x = 434,583.74/877.75
  6. Step 6: Final answer
    x = 495.11

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