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Finding the Fourth Proportional to 798.60, 1,198.20 and 432.96

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Solution

The fourth proportional to 798.60, 1,198.20 and 432.96 is: 649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.60 : 1,198.20 = 432.96 : x
  2. Step 2: Convert to fraction form
    798.60/1,198.20 = 432.96/x
  3. Step 3: Cross multiply
    798.60x = 1,198.20 × 432.96
  4. Step 4: Simplify right side
    798.60x = 518,772.67
  5. Step 5: Solve for x
    x = 518,772.67/798.60
  6. Step 6: Final answer
    x = 649.60

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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.