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Finding the Fourth Proportional to 797.40, 1,196.07 and 432.90

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Solution

The fourth proportional to 797.40, 1,196.07 and 432.90 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,196.07 = 432.90 : x
  2. Step 2: Convert to fraction form
    797.40/1,196.07 = 432.90/x
  3. Step 3: Cross multiply
    797.40x = 1,196.07 × 432.90
  4. Step 4: Simplify right side
    797.40x = 517,778.70
  5. Step 5: Solve for x
    x = 517,778.70/797.40
  6. Step 6: Final answer
    x = 649.33

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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.