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Finding the Fourth Proportional to 842.52, 1,262.93 and 322.38

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Solution

The fourth proportional to 842.52, 1,262.93 and 322.38 is: 483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.52 : 1,262.93 = 322.38 : x
  2. Step 2: Convert to fraction form
    842.52/1,262.93 = 322.38/x
  3. Step 3: Cross multiply
    842.52x = 1,262.93 × 322.38
  4. Step 4: Simplify right side
    842.52x = 407,141.76
  5. Step 5: Solve for x
    x = 407,141.76/842.52
  6. Step 6: Final answer
    x = 483.24

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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.