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Finding the Fourth Proportional to 1,193.28, 1,645.92 and 751.74

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Solution

The fourth proportional to 1,193.28, 1,645.92 and 751.74 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,645.92 = 751.74 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,645.92 = 751.74/x
  3. Step 3: Cross multiply
    1,193.28x = 1,645.92 × 751.74
  4. Step 4: Simplify right side
    1,193.28x = 1,237,303.90
  5. Step 5: Solve for x
    x = 1,237,303.90/1,193.28
  6. Step 6: Final answer
    x = 1,036.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.