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Finding the Fourth Proportional to 874.57, 1,208.63 and 716.95

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Solution

The fourth proportional to 874.57, 1,208.63 and 716.95 is: 990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.57 : 1,208.63 = 716.95 : x
  2. Step 2: Convert to fraction form
    874.57/1,208.63 = 716.95/x
  3. Step 3: Cross multiply
    874.57x = 1,208.63 × 716.95
  4. Step 4: Simplify right side
    874.57x = 866,527.28
  5. Step 5: Solve for x
    x = 866,527.28/874.57
  6. Step 6: Final answer
    x = 990.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.