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Finding the Fourth Proportional to 927.10, 1,390.65 and 822.70

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Solution

The fourth proportional to 927.10, 1,390.65 and 822.70 is: 1,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.10 : 1,390.65 = 822.70 : x
  2. Step 2: Convert to fraction form
    927.10/1,390.65 = 822.70/x
  3. Step 3: Cross multiply
    927.10x = 1,390.65 × 822.70
  4. Step 4: Simplify right side
    927.10x = 1,144,087.76
  5. Step 5: Solve for x
    x = 1,144,087.76/927.10
  6. Step 6: Final answer
    x = 1,234.05

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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.