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Finding the Fourth Proportional to 1,298.43, 1,944.54 and 712.53

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Solution

The fourth proportional to 1,298.43, 1,944.54 and 712.53 is: 1,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.43 : 1,944.54 = 712.53 : x
  2. Step 2: Convert to fraction form
    1,298.43/1,944.54 = 712.53/x
  3. Step 3: Cross multiply
    1,298.43x = 1,944.54 × 712.53
  4. Step 4: Simplify right side
    1,298.43x = 1,385,543.09
  5. Step 5: Solve for x
    x = 1,385,543.09/1,298.43
  6. Step 6: Final answer
    x = 1,067.09

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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.