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Finding the Fourth Proportional to 883.62, 1,323.30 and 492.65

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Solution

The fourth proportional to 883.62, 1,323.30 and 492.65 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,323.30 = 492.65 : x
  2. Step 2: Convert to fraction form
    883.62/1,323.30 = 492.65/x
  3. Step 3: Cross multiply
    883.62x = 1,323.30 × 492.65
  4. Step 4: Simplify right side
    883.62x = 651,917.13
  5. Step 5: Solve for x
    x = 651,917.13/883.62
  6. Step 6: Final answer
    x = 737.78

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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.