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Finding the Fourth Proportional to 792.79, 1,187.02 and 407.23

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Solution

The fourth proportional to 792.79, 1,187.02 and 407.23 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.79 : 1,187.02 = 407.23 : x
  2. Step 2: Convert to fraction form
    792.79/1,187.02 = 407.23/x
  3. Step 3: Cross multiply
    792.79x = 1,187.02 × 407.23
  4. Step 4: Simplify right side
    792.79x = 483,387.70
  5. Step 5: Solve for x
    x = 483,387.70/792.79
  6. Step 6: Final answer
    x = 609.73

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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.