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Finding the Fourth Proportional to 999.43, 1,378.79 and 595.57

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Solution

The fourth proportional to 999.43, 1,378.79 and 595.57 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.43 : 1,378.79 = 595.57 : x
  2. Step 2: Convert to fraction form
    999.43/1,378.79 = 595.57/x
  3. Step 3: Cross multiply
    999.43x = 1,378.79 × 595.57
  4. Step 4: Simplify right side
    999.43x = 821,167.45
  5. Step 5: Solve for x
    x = 821,167.45/999.43
  6. Step 6: Final answer
    x = 821.64

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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.