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Finding the Fourth Proportional to 799.52, 1,196.70 and 428.40

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Solution

The fourth proportional to 799.52, 1,196.70 and 428.40 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,196.70 = 428.40 : x
  2. Step 2: Convert to fraction form
    799.52/1,196.70 = 428.40/x
  3. Step 3: Cross multiply
    799.52x = 1,196.70 × 428.40
  4. Step 4: Simplify right side
    799.52x = 512,666.28
  5. Step 5: Solve for x
    x = 512,666.28/799.52
  6. Step 6: Final answer
    x = 641.22

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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.