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Finding the Fourth Proportional to 822.22, 1,234.08 and 432.48

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Solution

The fourth proportional to 822.22, 1,234.08 and 432.48 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,234.08 = 432.48 : x
  2. Step 2: Convert to fraction form
    822.22/1,234.08 = 432.48/x
  3. Step 3: Cross multiply
    822.22x = 1,234.08 × 432.48
  4. Step 4: Simplify right side
    822.22x = 533,714.92
  5. Step 5: Solve for x
    x = 533,714.92/822.22
  6. Step 6: Final answer
    x = 649.11

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Double scale
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1.5x scale

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.