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Finding the Fourth Proportional to 671.70, 927.14 and 472.59

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Solution

The fourth proportional to 671.70, 927.14 and 472.59 is: 652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.70 : 927.14 = 472.59 : x
  2. Step 2: Convert to fraction form
    671.70/927.14 = 472.59/x
  3. Step 3: Cross multiply
    671.70x = 927.14 × 472.59
  4. Step 4: Simplify right side
    671.70x = 438,157.09
  5. Step 5: Solve for x
    x = 438,157.09/671.70
  6. Step 6: Final answer
    x = 652.31

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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.