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Finding the Fourth Proportional to 469.78, 648.30 and 372.22

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Solution

The fourth proportional to 469.78, 648.30 and 372.22 is: 513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 648.30 = 372.22 : x
  2. Step 2: Convert to fraction form
    469.78/648.30 = 372.22/x
  3. Step 3: Cross multiply
    469.78x = 648.30 × 372.22
  4. Step 4: Simplify right side
    469.78x = 241,310.23
  5. Step 5: Solve for x
    x = 241,310.23/469.78
  6. Step 6: Final answer
    x = 513.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.