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Finding the Fourth Proportional to 2,275.89, 3,411.87 and 888.90

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Solution

The fourth proportional to 2,275.89, 3,411.87 and 888.90 is: 1,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.89 : 3,411.87 = 888.90 : x
  2. Step 2: Convert to fraction form
    2,275.89/3,411.87 = 888.90/x
  3. Step 3: Cross multiply
    2,275.89x = 3,411.87 × 888.90
  4. Step 4: Simplify right side
    2,275.89x = 3,032,811.24
  5. Step 5: Solve for x
    x = 3,032,811.24/2,275.89
  6. Step 6: Final answer
    x = 1,332.58

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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.