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Finding the Fourth Proportional to 501.74, 752 and 379.62

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Solution

The fourth proportional to 501.74, 752 and 379.62 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 752 = 379.62 : x
  2. Step 2: Convert to fraction form
    501.74/752 = 379.62/x
  3. Step 3: Cross multiply
    501.74x = 752 × 379.62
  4. Step 4: Simplify right side
    501.74x = 285,474.24
  5. Step 5: Solve for x
    x = 285,474.24/501.74
  6. Step 6: Final answer
    x = 568.97

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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.