Home / 1,531.40-2,296.97-491.12

Finding the Fourth Proportional to 1,531.40, 2,296.97 and 491.12

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Solution

The fourth proportional to 1,531.40, 2,296.97 and 491.12 is: 736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.40 : 2,296.97 = 491.12 : x
  2. Step 2: Convert to fraction form
    1,531.40/2,296.97 = 491.12/x
  3. Step 3: Cross multiply
    1,531.40x = 2,296.97 × 491.12
  4. Step 4: Simplify right side
    1,531.40x = 1,128,073.97
  5. Step 5: Solve for x
    x = 1,128,073.97/1,531.40
  6. Step 6: Final answer
    x = 736.63

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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.