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Finding the Fourth Proportional to 862.66, 1,294.80 and 452.09

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Solution

The fourth proportional to 862.66, 1,294.80 and 452.09 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.66 : 1,294.80 = 452.09 : x
  2. Step 2: Convert to fraction form
    862.66/1,294.80 = 452.09/x
  3. Step 3: Cross multiply
    862.66x = 1,294.80 × 452.09
  4. Step 4: Simplify right side
    862.66x = 585,360.63
  5. Step 5: Solve for x
    x = 585,360.63/862.66
  6. Step 6: Final answer
    x = 678.56

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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.