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Finding the Fourth Proportional to 846.60, 1,263.49 and 824.73

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Solution

The fourth proportional to 846.60, 1,263.49 and 824.73 is: 1,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,263.49 = 824.73 : x
  2. Step 2: Convert to fraction form
    846.60/1,263.49 = 824.73/x
  3. Step 3: Cross multiply
    846.60x = 1,263.49 × 824.73
  4. Step 4: Simplify right side
    846.60x = 1,042,038.11
  5. Step 5: Solve for x
    x = 1,042,038.11/846.60
  6. Step 6: Final answer
    x = 1,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.