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Finding the Fourth Proportional to 803.67, 1,204.62 and 408.65

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Solution

The fourth proportional to 803.67, 1,204.62 and 408.65 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.67 : 1,204.62 = 408.65 : x
  2. Step 2: Convert to fraction form
    803.67/1,204.62 = 408.65/x
  3. Step 3: Cross multiply
    803.67x = 1,204.62 × 408.65
  4. Step 4: Simplify right side
    803.67x = 492,262.71
  5. Step 5: Solve for x
    x = 492,262.71/803.67
  6. Step 6: Final answer
    x = 612.52

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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.