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Finding the Fourth Proportional to 799.61, 1,200.78 and 493.27

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Solution

The fourth proportional to 799.61, 1,200.78 and 493.27 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.61 : 1,200.78 = 493.27 : x
  2. Step 2: Convert to fraction form
    799.61/1,200.78 = 493.27/x
  3. Step 3: Cross multiply
    799.61x = 1,200.78 × 493.27
  4. Step 4: Simplify right side
    799.61x = 592,305.75
  5. Step 5: Solve for x
    x = 592,305.75/799.61
  6. Step 6: Final answer
    x = 740.75

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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.