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Finding the Fourth Proportional to 929.17, 1,394.67 and 442.56

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Solution

The fourth proportional to 929.17, 1,394.67 and 442.56 is: 664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.17 : 1,394.67 = 442.56 : x
  2. Step 2: Convert to fraction form
    929.17/1,394.67 = 442.56/x
  3. Step 3: Cross multiply
    929.17x = 1,394.67 × 442.56
  4. Step 4: Simplify right side
    929.17x = 617,229.56
  5. Step 5: Solve for x
    x = 617,229.56/929.17
  6. Step 6: Final answer
    x = 664.28

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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.