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Finding the Fourth Proportional to 873.22, 1,304.55 and 562.54

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Solution

The fourth proportional to 873.22, 1,304.55 and 562.54 is: 840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.22 : 1,304.55 = 562.54 : x
  2. Step 2: Convert to fraction form
    873.22/1,304.55 = 562.54/x
  3. Step 3: Cross multiply
    873.22x = 1,304.55 × 562.54
  4. Step 4: Simplify right side
    873.22x = 733,861.56
  5. Step 5: Solve for x
    x = 733,861.56/873.22
  6. Step 6: Final answer
    x = 840.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.