Home / 1,160.12-1,600.08-998.70

Finding the Fourth Proportional to 1,160.12, 1,600.08 and 998.70

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Solution

The fourth proportional to 1,160.12, 1,600.08 and 998.70 is: 1,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.12 : 1,600.08 = 998.70 : x
  2. Step 2: Convert to fraction form
    1,160.12/1,600.08 = 998.70/x
  3. Step 3: Cross multiply
    1,160.12x = 1,600.08 × 998.70
  4. Step 4: Simplify right side
    1,160.12x = 1,597,999.90
  5. Step 5: Solve for x
    x = 1,597,999.90/1,160.12
  6. Step 6: Final answer
    x = 1,377.45

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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.