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Finding the Fourth Proportional to 792.68, 1,189.17 and 402.37

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Solution

The fourth proportional to 792.68, 1,189.17 and 402.37 is: 603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.68 : 1,189.17 = 402.37 : x
  2. Step 2: Convert to fraction form
    792.68/1,189.17 = 402.37/x
  3. Step 3: Cross multiply
    792.68x = 1,189.17 × 402.37
  4. Step 4: Simplify right side
    792.68x = 478,483.36
  5. Step 5: Solve for x
    x = 478,483.36/792.68
  6. Step 6: Final answer
    x = 603.63

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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.