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Finding the Fourth Proportional to 792.23, 1,187.64 and 426.65

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Solution

The fourth proportional to 792.23, 1,187.64 and 426.65 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.23 : 1,187.64 = 426.65 : x
  2. Step 2: Convert to fraction form
    792.23/1,187.64 = 426.65/x
  3. Step 3: Cross multiply
    792.23x = 1,187.64 × 426.65
  4. Step 4: Simplify right side
    792.23x = 506,700.67
  5. Step 5: Solve for x
    x = 506,700.67/792.23
  6. Step 6: Final answer
    x = 639.59

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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.