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Finding the Fourth Proportional to 1,253.65, 1,884.24 and 845.41

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Solution

The fourth proportional to 1,253.65, 1,884.24 and 845.41 is: 1,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.65 : 1,884.24 = 845.41 : x
  2. Step 2: Convert to fraction form
    1,253.65/1,884.24 = 845.41/x
  3. Step 3: Cross multiply
    1,253.65x = 1,884.24 × 845.41
  4. Step 4: Simplify right side
    1,253.65x = 1,592,957.08
  5. Step 5: Solve for x
    x = 1,592,957.08/1,253.65
  6. Step 6: Final answer
    x = 1,270.65

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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.