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Finding the Fourth Proportional to 2,275.25, 3,412.97 and 888.45

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Solution

The fourth proportional to 2,275.25, 3,412.97 and 888.45 is: 1,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.25 : 3,412.97 = 888.45 : x
  2. Step 2: Convert to fraction form
    2,275.25/3,412.97 = 888.45/x
  3. Step 3: Cross multiply
    2,275.25x = 3,412.97 × 888.45
  4. Step 4: Simplify right side
    2,275.25x = 3,032,248.75
  5. Step 5: Solve for x
    x = 3,032,248.75/2,275.25
  6. Step 6: Final answer
    x = 1,332.71

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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.