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Finding the Fourth Proportional to 822.19, 1,134.58 and 468.12

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Solution

The fourth proportional to 822.19, 1,134.58 and 468.12 is: 645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,134.58 = 468.12 : x
  2. Step 2: Convert to fraction form
    822.19/1,134.58 = 468.12/x
  3. Step 3: Cross multiply
    822.19x = 1,134.58 × 468.12
  4. Step 4: Simplify right side
    822.19x = 531,119.59
  5. Step 5: Solve for x
    x = 531,119.59/822.19
  6. Step 6: Final answer
    x = 645.99

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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.