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Finding the Fourth Proportional to 822.12, 1,134.63 and 490.65

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Solution

The fourth proportional to 822.12, 1,134.63 and 490.65 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,134.63 = 490.65 : x
  2. Step 2: Convert to fraction form
    822.12/1,134.63 = 490.65/x
  3. Step 3: Cross multiply
    822.12x = 1,134.63 × 490.65
  4. Step 4: Simplify right side
    822.12x = 556,706.21
  5. Step 5: Solve for x
    x = 556,706.21/822.12
  6. Step 6: Final answer
    x = 677.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.