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Finding the Fourth Proportional to 999.57, 1,377.90 and 719.31

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Solution

The fourth proportional to 999.57, 1,377.90 and 719.31 is: 991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.57 : 1,377.90 = 719.31 : x
  2. Step 2: Convert to fraction form
    999.57/1,377.90 = 719.31/x
  3. Step 3: Cross multiply
    999.57x = 1,377.90 × 719.31
  4. Step 4: Simplify right side
    999.57x = 991,137.25
  5. Step 5: Solve for x
    x = 991,137.25/999.57
  6. Step 6: Final answer
    x = 991.56

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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.