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Finding the Fourth Proportional to 601.24, 900.49 and 381.85

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Solution

The fourth proportional to 601.24, 900.49 and 381.85 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.24 : 900.49 = 381.85 : x
  2. Step 2: Convert to fraction form
    601.24/900.49 = 381.85/x
  3. Step 3: Cross multiply
    601.24x = 900.49 × 381.85
  4. Step 4: Simplify right side
    601.24x = 343,854.36
  5. Step 5: Solve for x
    x = 343,854.36/601.24
  6. Step 6: Final answer
    x = 571.91

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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.