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Finding the Fourth Proportional to 796.89, 1,196.12 and 432.46

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Solution

The fourth proportional to 796.89, 1,196.12 and 432.46 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.89 : 1,196.12 = 432.46 : x
  2. Step 2: Convert to fraction form
    796.89/1,196.12 = 432.46/x
  3. Step 3: Cross multiply
    796.89x = 1,196.12 × 432.46
  4. Step 4: Simplify right side
    796.89x = 517,274.06
  5. Step 5: Solve for x
    x = 517,274.06/796.89
  6. Step 6: Final answer
    x = 649.12

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1.5x scale

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.