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Finding the Fourth Proportional to 471.78, 650.85 and 312.24

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Solution

The fourth proportional to 471.78, 650.85 and 312.24 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 650.85 = 312.24 : x
  2. Step 2: Convert to fraction form
    471.78/650.85 = 312.24/x
  3. Step 3: Cross multiply
    471.78x = 650.85 × 312.24
  4. Step 4: Simplify right side
    471.78x = 203,221.40
  5. Step 5: Solve for x
    x = 203,221.40/471.78
  6. Step 6: Final answer
    x = 430.75

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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.