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Finding the Fourth Proportional to 472.29, 650.73 and 316.77

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Solution

The fourth proportional to 472.29, 650.73 and 316.77 is: 436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 650.73 = 316.77 : x
  2. Step 2: Convert to fraction form
    472.29/650.73 = 316.77/x
  3. Step 3: Cross multiply
    472.29x = 650.73 × 316.77
  4. Step 4: Simplify right side
    472.29x = 206,131.74
  5. Step 5: Solve for x
    x = 206,131.74/472.29
  6. Step 6: Final answer
    x = 436.45

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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.