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Finding the Fourth Proportional to 792.37, 1,186.24 and 421.30

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Solution

The fourth proportional to 792.37, 1,186.24 and 421.30 is: 630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.37 : 1,186.24 = 421.30 : x
  2. Step 2: Convert to fraction form
    792.37/1,186.24 = 421.30/x
  3. Step 3: Cross multiply
    792.37x = 1,186.24 × 421.30
  4. Step 4: Simplify right side
    792.37x = 499,762.91
  5. Step 5: Solve for x
    x = 499,762.91/792.37
  6. Step 6: Final answer
    x = 630.72

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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.