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Finding the Fourth Proportional to 929.22, 1,394.71 and 344.78

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Solution

The fourth proportional to 929.22, 1,394.71 and 344.78 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,394.71 = 344.78 : x
  2. Step 2: Convert to fraction form
    929.22/1,394.71 = 344.78/x
  3. Step 3: Cross multiply
    929.22x = 1,394.71 × 344.78
  4. Step 4: Simplify right side
    929.22x = 480,865.51
  5. Step 5: Solve for x
    x = 480,865.51/929.22
  6. Step 6: Final answer
    x = 517.50

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Double scale
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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.