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Finding the Fourth Proportional to 1,241.45, 1,862.17 and 317.00

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Solution

The fourth proportional to 1,241.45, 1,862.17 and 317.00 is: 475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.45 : 1,862.17 = 317.00 : x
  2. Step 2: Convert to fraction form
    1,241.45/1,862.17 = 317.00/x
  3. Step 3: Cross multiply
    1,241.45x = 1,862.17 × 317.00
  4. Step 4: Simplify right side
    1,241.45x = 590,316.41
  5. Step 5: Solve for x
    x = 590,316.41/1,241.45
  6. Step 6: Final answer
    x = 475.51

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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.