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Finding the Fourth Proportional to 934.96, 1,405.68 and 863.68

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Solution

The fourth proportional to 934.96, 1,405.68 and 863.68 is: 1,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.96 : 1,405.68 = 863.68 : x
  2. Step 2: Convert to fraction form
    934.96/1,405.68 = 863.68/x
  3. Step 3: Cross multiply
    934.96x = 1,405.68 × 863.68
  4. Step 4: Simplify right side
    934.96x = 1,214,057.70
  5. Step 5: Solve for x
    x = 1,214,057.70/934.96
  6. Step 6: Final answer
    x = 1,298.51

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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.