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Finding the Fourth Proportional to 800.34, 1,200.67 and 597.33

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Solution

The fourth proportional to 800.34, 1,200.67 and 597.33 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,200.67 = 597.33 : x
  2. Step 2: Convert to fraction form
    800.34/1,200.67 = 597.33/x
  3. Step 3: Cross multiply
    800.34x = 1,200.67 × 597.33
  4. Step 4: Simplify right side
    800.34x = 717,196.21
  5. Step 5: Solve for x
    x = 717,196.21/800.34
  6. Step 6: Final answer
    x = 896.11

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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.