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Finding the Fourth Proportional to 1,242.26, 1,863.42 and 317.82

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Solution

The fourth proportional to 1,242.26, 1,863.42 and 317.82 is: 476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.26 : 1,863.42 = 317.82 : x
  2. Step 2: Convert to fraction form
    1,242.26/1,863.42 = 317.82/x
  3. Step 3: Cross multiply
    1,242.26x = 1,863.42 × 317.82
  4. Step 4: Simplify right side
    1,242.26x = 592,232.14
  5. Step 5: Solve for x
    x = 592,232.14/1,242.26
  6. Step 6: Final answer
    x = 476.74

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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.