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Finding the Fourth Proportional to 862.96, 1,293.40 and 400.12

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Solution

The fourth proportional to 862.96, 1,293.40 and 400.12 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,293.40 = 400.12 : x
  2. Step 2: Convert to fraction form
    862.96/1,293.40 = 400.12/x
  3. Step 3: Cross multiply
    862.96x = 1,293.40 × 400.12
  4. Step 4: Simplify right side
    862.96x = 517,515.21
  5. Step 5: Solve for x
    x = 517,515.21/862.96
  6. Step 6: Final answer
    x = 599.70

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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.