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Finding the Fourth Proportional to 822.07, 1,134.43 and 468.02

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Solution

The fourth proportional to 822.07, 1,134.43 and 468.02 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.07 : 1,134.43 = 468.02 : x
  2. Step 2: Convert to fraction form
    822.07/1,134.43 = 468.02/x
  3. Step 3: Cross multiply
    822.07x = 1,134.43 × 468.02
  4. Step 4: Simplify right side
    822.07x = 530,930.93
  5. Step 5: Solve for x
    x = 530,930.93/822.07
  6. Step 6: Final answer
    x = 645.84

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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.