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Finding the Fourth Proportional to 797.70, 1,196.88 and 432.74

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Solution

The fourth proportional to 797.70, 1,196.88 and 432.74 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,196.88 = 432.74 : x
  2. Step 2: Convert to fraction form
    797.70/1,196.88 = 432.74/x
  3. Step 3: Cross multiply
    797.70x = 1,196.88 × 432.74
  4. Step 4: Simplify right side
    797.70x = 517,939.22
  5. Step 5: Solve for x
    x = 517,939.22/797.70
  6. Step 6: Final answer
    x = 649.29

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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.