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Finding the Fourth Proportional to 929.78, 1,393.10 and 408.96

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Solution

The fourth proportional to 929.78, 1,393.10 and 408.96 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,393.10 = 408.96 : x
  2. Step 2: Convert to fraction form
    929.78/1,393.10 = 408.96/x
  3. Step 3: Cross multiply
    929.78x = 1,393.10 × 408.96
  4. Step 4: Simplify right side
    929.78x = 569,722.18
  5. Step 5: Solve for x
    x = 569,722.18/929.78
  6. Step 6: Final answer
    x = 612.75

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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.