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Finding the Fourth Proportional to 883.62, 1,323.90 and 709.38

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Solution

The fourth proportional to 883.62, 1,323.90 and 709.38 is: 1,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,323.90 = 709.38 : x
  2. Step 2: Convert to fraction form
    883.62/1,323.90 = 709.38/x
  3. Step 3: Cross multiply
    883.62x = 1,323.90 × 709.38
  4. Step 4: Simplify right side
    883.62x = 939,148.18
  5. Step 5: Solve for x
    x = 939,148.18/883.62
  6. Step 6: Final answer
    x = 1,062.84

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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.