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Finding the Fourth Proportional to 2,287.68, 3,432.93 and 900.77

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Solution

The fourth proportional to 2,287.68, 3,432.93 and 900.77 is: 1,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.68 : 3,432.93 = 900.77 : x
  2. Step 2: Convert to fraction form
    2,287.68/3,432.93 = 900.77/x
  3. Step 3: Cross multiply
    2,287.68x = 3,432.93 × 900.77
  4. Step 4: Simplify right side
    2,287.68x = 3,092,284.19
  5. Step 5: Solve for x
    x = 3,092,284.19/2,287.68
  6. Step 6: Final answer
    x = 1,351.71

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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.