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Finding the Fourth Proportional to 929.86, 1,395.80 and 699.41

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Solution

The fourth proportional to 929.86, 1,395.80 and 699.41 is: 1,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.86 : 1,395.80 = 699.41 : x
  2. Step 2: Convert to fraction form
    929.86/1,395.80 = 699.41/x
  3. Step 3: Cross multiply
    929.86x = 1,395.80 × 699.41
  4. Step 4: Simplify right side
    929.86x = 976,236.48
  5. Step 5: Solve for x
    x = 976,236.48/929.86
  6. Step 6: Final answer
    x = 1,049.87

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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.