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Finding the Fourth Proportional to 999.29, 1,377.79 and 821.63

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Solution

The fourth proportional to 999.29, 1,377.79 and 821.63 is: 1,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.29 : 1,377.79 = 821.63 : x
  2. Step 2: Convert to fraction form
    999.29/1,377.79 = 821.63/x
  3. Step 3: Cross multiply
    999.29x = 1,377.79 × 821.63
  4. Step 4: Simplify right side
    999.29x = 1,132,024.65
  5. Step 5: Solve for x
    x = 1,132,024.65/999.29
  6. Step 6: Final answer
    x = 1,132.83

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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.