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Finding the Fourth Proportional to 822.03, 1,233.72 and 432.47

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Solution

The fourth proportional to 822.03, 1,233.72 and 432.47 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.03 : 1,233.72 = 432.47 : x
  2. Step 2: Convert to fraction form
    822.03/1,233.72 = 432.47/x
  3. Step 3: Cross multiply
    822.03x = 1,233.72 × 432.47
  4. Step 4: Simplify right side
    822.03x = 533,540.72
  5. Step 5: Solve for x
    x = 533,540.72/822.03
  6. Step 6: Final answer
    x = 649.05

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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.