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Finding the Fourth Proportional to 934.12, 1,289.28 and 584.20

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Solution

The fourth proportional to 934.12, 1,289.28 and 584.20 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.12 : 1,289.28 = 584.20 : x
  2. Step 2: Convert to fraction form
    934.12/1,289.28 = 584.20/x
  3. Step 3: Cross multiply
    934.12x = 1,289.28 × 584.20
  4. Step 4: Simplify right side
    934.12x = 753,197.38
  5. Step 5: Solve for x
    x = 753,197.38/934.12
  6. Step 6: Final answer
    x = 806.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.