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Finding the Fourth Proportional to 822.69, 1,134.54 and 601.83

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Solution

The fourth proportional to 822.69, 1,134.54 and 601.83 is: 829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.69 : 1,134.54 = 601.83 : x
  2. Step 2: Convert to fraction form
    822.69/1,134.54 = 601.83/x
  3. Step 3: Cross multiply
    822.69x = 1,134.54 × 601.83
  4. Step 4: Simplify right side
    822.69x = 682,800.21
  5. Step 5: Solve for x
    x = 682,800.21/822.69
  6. Step 6: Final answer
    x = 829.96

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Double scale
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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.