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Finding the Fourth Proportional to 472.50, 708.74 and 147.86

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Solution

The fourth proportional to 472.50, 708.74 and 147.86 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 708.74 = 147.86 : x
  2. Step 2: Convert to fraction form
    472.50/708.74 = 147.86/x
  3. Step 3: Cross multiply
    472.50x = 708.74 × 147.86
  4. Step 4: Simplify right side
    472.50x = 104,794.30
  5. Step 5: Solve for x
    x = 104,794.30/472.50
  6. Step 6: Final answer
    x = 221.79

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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.