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Finding the Fourth Proportional to 798.34, 1,197.96 and 433.12

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Solution

The fourth proportional to 798.34, 1,197.96 and 433.12 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.34 : 1,197.96 = 433.12 : x
  2. Step 2: Convert to fraction form
    798.34/1,197.96 = 433.12/x
  3. Step 3: Cross multiply
    798.34x = 1,197.96 × 433.12
  4. Step 4: Simplify right side
    798.34x = 518,860.44
  5. Step 5: Solve for x
    x = 518,860.44/798.34
  6. Step 6: Final answer
    x = 649.92

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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.