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Finding the Fourth Proportional to 800.57, 1,199.49 and 595.54

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Solution

The fourth proportional to 800.57, 1,199.49 and 595.54 is: 892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.57 : 1,199.49 = 595.54 : x
  2. Step 2: Convert to fraction form
    800.57/1,199.49 = 595.54/x
  3. Step 3: Cross multiply
    800.57x = 1,199.49 × 595.54
  4. Step 4: Simplify right side
    800.57x = 714,344.27
  5. Step 5: Solve for x
    x = 714,344.27/800.57
  6. Step 6: Final answer
    x = 892.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.