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Finding the Fourth Proportional to 1,229.37, 1,842.42 and 915.63

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Solution

The fourth proportional to 1,229.37, 1,842.42 and 915.63 is: 1,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.37 : 1,842.42 = 915.63 : x
  2. Step 2: Convert to fraction form
    1,229.37/1,842.42 = 915.63/x
  3. Step 3: Cross multiply
    1,229.37x = 1,842.42 × 915.63
  4. Step 4: Simplify right side
    1,229.37x = 1,686,975.02
  5. Step 5: Solve for x
    x = 1,686,975.02/1,229.37
  6. Step 6: Final answer
    x = 1,372.23

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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.