Home / 1,531.44-2,296.80-435.90

Finding the Fourth Proportional to 1,531.44, 2,296.80 and 435.90

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Solution

The fourth proportional to 1,531.44, 2,296.80 and 435.90 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.44 : 2,296.80 = 435.90 : x
  2. Step 2: Convert to fraction form
    1,531.44/2,296.80 = 435.90/x
  3. Step 3: Cross multiply
    1,531.44x = 2,296.80 × 435.90
  4. Step 4: Simplify right side
    1,531.44x = 1,001,175.12
  5. Step 5: Solve for x
    x = 1,001,175.12/1,531.44
  6. Step 6: Final answer
    x = 653.75

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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.