Home / 1,531.40-2,296.46-505.16

Finding the Fourth Proportional to 1,531.40, 2,296.46 and 505.16

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Solution

The fourth proportional to 1,531.40, 2,296.46 and 505.16 is: 757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.40 : 2,296.46 = 505.16 : x
  2. Step 2: Convert to fraction form
    1,531.40/2,296.46 = 505.16/x
  3. Step 3: Cross multiply
    1,531.40x = 2,296.46 × 505.16
  4. Step 4: Simplify right side
    1,531.40x = 1,160,079.73
  5. Step 5: Solve for x
    x = 1,160,079.73/1,531.40
  6. Step 6: Final answer
    x = 757.53

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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.