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Finding the Fourth Proportional to 929.76, 1,394.76 and 280.44

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Solution

The fourth proportional to 929.76, 1,394.76 and 280.44 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.76 : 1,394.76 = 280.44 : x
  2. Step 2: Convert to fraction form
    929.76/1,394.76 = 280.44/x
  3. Step 3: Cross multiply
    929.76x = 1,394.76 × 280.44
  4. Step 4: Simplify right side
    929.76x = 391,146.49
  5. Step 5: Solve for x
    x = 391,146.49/929.76
  6. Step 6: Final answer
    x = 420.70

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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.