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Finding the Fourth Proportional to 927.88, 1,384.66 and 830.68

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Solution

The fourth proportional to 927.88, 1,384.66 and 830.68 is: 1,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.88 : 1,384.66 = 830.68 : x
  2. Step 2: Convert to fraction form
    927.88/1,384.66 = 830.68/x
  3. Step 3: Cross multiply
    927.88x = 1,384.66 × 830.68
  4. Step 4: Simplify right side
    927.88x = 1,150,209.37
  5. Step 5: Solve for x
    x = 1,150,209.37/927.88
  6. Step 6: Final answer
    x = 1,239.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.