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Finding the Fourth Proportional to 1,398.57, 2,099.47 and 750.57

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Solution

The fourth proportional to 1,398.57, 2,099.47 and 750.57 is: 1,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.57 : 2,099.47 = 750.57 : x
  2. Step 2: Convert to fraction form
    1,398.57/2,099.47 = 750.57/x
  3. Step 3: Cross multiply
    1,398.57x = 2,099.47 × 750.57
  4. Step 4: Simplify right side
    1,398.57x = 1,575,788.70
  5. Step 5: Solve for x
    x = 1,575,788.70/1,398.57
  6. Step 6: Final answer
    x = 1,126.72

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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.