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Finding the Fourth Proportional to 797.88, 1,197.56 and 432.96

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Solution

The fourth proportional to 797.88, 1,197.56 and 432.96 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,197.56 = 432.96 : x
  2. Step 2: Convert to fraction form
    797.88/1,197.56 = 432.96/x
  3. Step 3: Cross multiply
    797.88x = 1,197.56 × 432.96
  4. Step 4: Simplify right side
    797.88x = 518,495.58
  5. Step 5: Solve for x
    x = 518,495.58/797.88
  6. Step 6: Final answer
    x = 649.84

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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.