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Finding the Fourth Proportional to 674.88, 1,012.36 and 290.13

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Solution

The fourth proportional to 674.88, 1,012.36 and 290.13 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 1,012.36 = 290.13 : x
  2. Step 2: Convert to fraction form
    674.88/1,012.36 = 290.13/x
  3. Step 3: Cross multiply
    674.88x = 1,012.36 × 290.13
  4. Step 4: Simplify right side
    674.88x = 293,716.01
  5. Step 5: Solve for x
    x = 293,716.01/674.88
  6. Step 6: Final answer
    x = 435.21

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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.