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Finding the Fourth Proportional to 874.88, 1,309.92 and 617.60

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Solution

The fourth proportional to 874.88, 1,309.92 and 617.60 is: 924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.88 : 1,309.92 = 617.60 : x
  2. Step 2: Convert to fraction form
    874.88/1,309.92 = 617.60/x
  3. Step 3: Cross multiply
    874.88x = 1,309.92 × 617.60
  4. Step 4: Simplify right side
    874.88x = 809,006.59
  5. Step 5: Solve for x
    x = 809,006.59/874.88
  6. Step 6: Final answer
    x = 924.71

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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.