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Finding the Fourth Proportional to 929.87, 1,394.13 and 344.58

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Solution

The fourth proportional to 929.87, 1,394.13 and 344.58 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.87 : 1,394.13 = 344.58 : x
  2. Step 2: Convert to fraction form
    929.87/1,394.13 = 344.58/x
  3. Step 3: Cross multiply
    929.87x = 1,394.13 × 344.58
  4. Step 4: Simplify right side
    929.87x = 480,389.32
  5. Step 5: Solve for x
    x = 480,389.32/929.87
  6. Step 6: Final answer
    x = 516.62

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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.