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Finding the Fourth Proportional to 472.34, 651.94 and 317

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Solution

The fourth proportional to 472.34, 651.94 and 317 is: 437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 651.94 = 317 : x
  2. Step 2: Convert to fraction form
    472.34/651.94 = 317/x
  3. Step 3: Cross multiply
    472.34x = 651.94 × 317
  4. Step 4: Simplify right side
    472.34x = 206,664.98
  5. Step 5: Solve for x
    x = 206,664.98/472.34
  6. Step 6: Final answer
    x = 437.53

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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.