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Finding the Fourth Proportional to 1,583.18, 2,373.92 and 880.61

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Solution

The fourth proportional to 1,583.18, 2,373.92 and 880.61 is: 1,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.18 : 2,373.92 = 880.61 : x
  2. Step 2: Convert to fraction form
    1,583.18/2,373.92 = 880.61/x
  3. Step 3: Cross multiply
    1,583.18x = 2,373.92 × 880.61
  4. Step 4: Simplify right side
    1,583.18x = 2,090,495.97
  5. Step 5: Solve for x
    x = 2,090,495.97/1,583.18
  6. Step 6: Final answer
    x = 1,320.44

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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.