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Finding the Fourth Proportional to 472.62, 708.28 and 264.18

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Solution

The fourth proportional to 472.62, 708.28 and 264.18 is: 395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 708.28 = 264.18 : x
  2. Step 2: Convert to fraction form
    472.62/708.28 = 264.18/x
  3. Step 3: Cross multiply
    472.62x = 708.28 × 264.18
  4. Step 4: Simplify right side
    472.62x = 187,113.41
  5. Step 5: Solve for x
    x = 187,113.41/472.62
  6. Step 6: Final answer
    x = 395.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.