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Finding the Fourth Proportional to 2,287.55, 3,432.74 and 900.65

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Solution

The fourth proportional to 2,287.55, 3,432.74 and 900.65 is: 1,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.55 : 3,432.74 = 900.65 : x
  2. Step 2: Convert to fraction form
    2,287.55/3,432.74 = 900.65/x
  3. Step 3: Cross multiply
    2,287.55x = 3,432.74 × 900.65
  4. Step 4: Simplify right side
    2,287.55x = 3,091,697.28
  5. Step 5: Solve for x
    x = 3,091,697.28/2,287.55
  6. Step 6: Final answer
    x = 1,351.53

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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.