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Finding the Fourth Proportional to 472.50, 707.83 and 240.71

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Solution

The fourth proportional to 472.50, 707.83 and 240.71 is: 360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 707.83 = 240.71 : x
  2. Step 2: Convert to fraction form
    472.50/707.83 = 240.71/x
  3. Step 3: Cross multiply
    472.50x = 707.83 × 240.71
  4. Step 4: Simplify right side
    472.50x = 170,377.62
  5. Step 5: Solve for x
    x = 170,377.62/472.50
  6. Step 6: Final answer
    x = 360.59

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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.