Home / 1,190.10-1,641.82-747.30

Finding the Fourth Proportional to 1,190.10, 1,641.82 and 747.30

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Solution

The fourth proportional to 1,190.10, 1,641.82 and 747.30 is: 1,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.10 : 1,641.82 = 747.30 : x
  2. Step 2: Convert to fraction form
    1,190.10/1,641.82 = 747.30/x
  3. Step 3: Cross multiply
    1,190.10x = 1,641.82 × 747.30
  4. Step 4: Simplify right side
    1,190.10x = 1,226,932.09
  5. Step 5: Solve for x
    x = 1,226,932.09/1,190.10
  6. Step 6: Final answer
    x = 1,030.95

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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.