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Finding the Fourth Proportional to 822.10, 1,134.57 and 589.78

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Solution

The fourth proportional to 822.10, 1,134.57 and 589.78 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,134.57 = 589.78 : x
  2. Step 2: Convert to fraction form
    822.10/1,134.57 = 589.78/x
  3. Step 3: Cross multiply
    822.10x = 1,134.57 × 589.78
  4. Step 4: Simplify right side
    822.10x = 669,146.69
  5. Step 5: Solve for x
    x = 669,146.69/822.10
  6. Step 6: Final answer
    x = 813.95

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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.