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Finding the Fourth Proportional to 1,524.29, 2,290.71 and 908.11

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Solution

The fourth proportional to 1,524.29, 2,290.71 and 908.11 is: 1,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.29 : 2,290.71 = 908.11 : x
  2. Step 2: Convert to fraction form
    1,524.29/2,290.71 = 908.11/x
  3. Step 3: Cross multiply
    1,524.29x = 2,290.71 × 908.11
  4. Step 4: Simplify right side
    1,524.29x = 2,080,216.66
  5. Step 5: Solve for x
    x = 2,080,216.66/1,524.29
  6. Step 6: Final answer
    x = 1,364.71

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1.5x scale

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.