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Finding the Fourth Proportional to 822.59, 1,234.54 and 432.82

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Solution

The fourth proportional to 822.59, 1,234.54 and 432.82 is: 649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.59 : 1,234.54 = 432.82 : x
  2. Step 2: Convert to fraction form
    822.59/1,234.54 = 432.82/x
  3. Step 3: Cross multiply
    822.59x = 1,234.54 × 432.82
  4. Step 4: Simplify right side
    822.59x = 534,330.52
  5. Step 5: Solve for x
    x = 534,330.52/822.59
  6. Step 6: Final answer
    x = 649.57

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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.