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Finding the Fourth Proportional to 1,531.39, 2,297.05 and 505.39

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Solution

The fourth proportional to 1,531.39, 2,297.05 and 505.39 is: 758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.39 : 2,297.05 = 505.39 : x
  2. Step 2: Convert to fraction form
    1,531.39/2,297.05 = 505.39/x
  3. Step 3: Cross multiply
    1,531.39x = 2,297.05 × 505.39
  4. Step 4: Simplify right side
    1,531.39x = 1,160,906.10
  5. Step 5: Solve for x
    x = 1,160,906.10/1,531.39
  6. Step 6: Final answer
    x = 758.07

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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.