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Finding the Fourth Proportional to 506.61, 755.34 and 501.57

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Solution

The fourth proportional to 506.61, 755.34 and 501.57 is: 747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 755.34 = 501.57 : x
  2. Step 2: Convert to fraction form
    506.61/755.34 = 501.57/x
  3. Step 3: Cross multiply
    506.61x = 755.34 × 501.57
  4. Step 4: Simplify right side
    506.61x = 378,855.88
  5. Step 5: Solve for x
    x = 378,855.88/506.61
  6. Step 6: Final answer
    x = 747.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.