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Finding the Fourth Proportional to 842.33, 1,262.63 and 322.21

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Solution

The fourth proportional to 842.33, 1,262.63 and 322.21 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.33 : 1,262.63 = 322.21 : x
  2. Step 2: Convert to fraction form
    842.33/1,262.63 = 322.21/x
  3. Step 3: Cross multiply
    842.33x = 1,262.63 × 322.21
  4. Step 4: Simplify right side
    842.33x = 406,834.40
  5. Step 5: Solve for x
    x = 406,834.40/842.33
  6. Step 6: Final answer
    x = 482.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.