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Finding the Fourth Proportional to 862.31, 1,293.57 and 400.02

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Solution

The fourth proportional to 862.31, 1,293.57 and 400.02 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.31 : 1,293.57 = 400.02 : x
  2. Step 2: Convert to fraction form
    862.31/1,293.57 = 400.02/x
  3. Step 3: Cross multiply
    862.31x = 1,293.57 × 400.02
  4. Step 4: Simplify right side
    862.31x = 517,453.87
  5. Step 5: Solve for x
    x = 517,453.87/862.31
  6. Step 6: Final answer
    x = 600.08

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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.