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Finding the Fourth Proportional to 832.75, 1,246.41 and 442.19

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Solution

The fourth proportional to 832.75, 1,246.41 and 442.19 is: 661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.75 : 1,246.41 = 442.19 : x
  2. Step 2: Convert to fraction form
    832.75/1,246.41 = 442.19/x
  3. Step 3: Cross multiply
    832.75x = 1,246.41 × 442.19
  4. Step 4: Simplify right side
    832.75x = 551,153.15
  5. Step 5: Solve for x
    x = 551,153.15/832.75
  6. Step 6: Final answer
    x = 661.85

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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.