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Finding the Fourth Proportional to 1,524.26, 2,286.38 and 370

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Solution

The fourth proportional to 1,524.26, 2,286.38 and 370 is: 555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.26 : 2,286.38 = 370 : x
  2. Step 2: Convert to fraction form
    1,524.26/2,286.38 = 370/x
  3. Step 3: Cross multiply
    1,524.26x = 2,286.38 × 370
  4. Step 4: Simplify right side
    1,524.26x = 845,960.60
  5. Step 5: Solve for x
    x = 845,960.60/1,524.26
  6. Step 6: Final answer
    x = 555.00

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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.