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Finding the Fourth Proportional to 882.06, 1,323.40 and 395.46

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Solution

The fourth proportional to 882.06, 1,323.40 and 395.46 is: 593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.06 : 1,323.40 = 395.46 : x
  2. Step 2: Convert to fraction form
    882.06/1,323.40 = 395.46/x
  3. Step 3: Cross multiply
    882.06x = 1,323.40 × 395.46
  4. Step 4: Simplify right side
    882.06x = 523,351.76
  5. Step 5: Solve for x
    x = 523,351.76/882.06
  6. Step 6: Final answer
    x = 593.33

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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.