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Finding the Fourth Proportional to 1,225.71, 1,837.13 and 494.31

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Solution

The fourth proportional to 1,225.71, 1,837.13 and 494.31 is: 740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.71 : 1,837.13 = 494.31 : x
  2. Step 2: Convert to fraction form
    1,225.71/1,837.13 = 494.31/x
  3. Step 3: Cross multiply
    1,225.71x = 1,837.13 × 494.31
  4. Step 4: Simplify right side
    1,225.71x = 908,109.26
  5. Step 5: Solve for x
    x = 908,109.26/1,225.71
  6. Step 6: Final answer
    x = 740.88

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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.