Home / 1,531.14-2,296.68-505.14

Finding the Fourth Proportional to 1,531.14, 2,296.68 and 505.14

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Solution

The fourth proportional to 1,531.14, 2,296.68 and 505.14 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.14 : 2,296.68 = 505.14 : x
  2. Step 2: Convert to fraction form
    1,531.14/2,296.68 = 505.14/x
  3. Step 3: Cross multiply
    1,531.14x = 2,296.68 × 505.14
  4. Step 4: Simplify right side
    1,531.14x = 1,160,144.94
  5. Step 5: Solve for x
    x = 1,160,144.94/1,531.14
  6. Step 6: Final answer
    x = 757.70

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1.5x scale

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.