Home / 1,190.72-1,641.68-977.26

Finding the Fourth Proportional to 1,190.72, 1,641.68 and 977.26

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Solution

The fourth proportional to 1,190.72, 1,641.68 and 977.26 is: 1,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.72 : 1,641.68 = 977.26 : x
  2. Step 2: Convert to fraction form
    1,190.72/1,641.68 = 977.26/x
  3. Step 3: Cross multiply
    1,190.72x = 1,641.68 × 977.26
  4. Step 4: Simplify right side
    1,190.72x = 1,604,348.20
  5. Step 5: Solve for x
    x = 1,604,348.20/1,190.72
  6. Step 6: Final answer
    x = 1,347.38

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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.