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Finding the Fourth Proportional to 934.33, 1,289.28 and 561.34

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Solution

The fourth proportional to 934.33, 1,289.28 and 561.34 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.33 : 1,289.28 = 561.34 : x
  2. Step 2: Convert to fraction form
    934.33/1,289.28 = 561.34/x
  3. Step 3: Cross multiply
    934.33x = 1,289.28 × 561.34
  4. Step 4: Simplify right side
    934.33x = 723,724.44
  5. Step 5: Solve for x
    x = 723,724.44/934.33
  6. Step 6: Final answer
    x = 774.59

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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.