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Finding the Fourth Proportional to 472.73, 652.16 and 315.21

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Solution

The fourth proportional to 472.73, 652.16 and 315.21 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.73 : 652.16 = 315.21 : x
  2. Step 2: Convert to fraction form
    472.73/652.16 = 315.21/x
  3. Step 3: Cross multiply
    472.73x = 652.16 × 315.21
  4. Step 4: Simplify right side
    472.73x = 205,570.59
  5. Step 5: Solve for x
    x = 205,570.59/472.73
  6. Step 6: Final answer
    x = 434.86

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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.