Home / 1,524.73-2,287.27-429.07

Finding the Fourth Proportional to 1,524.73, 2,287.27 and 429.07

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Solution

The fourth proportional to 1,524.73, 2,287.27 and 429.07 is: 643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.73 : 2,287.27 = 429.07 : x
  2. Step 2: Convert to fraction form
    1,524.73/2,287.27 = 429.07/x
  3. Step 3: Cross multiply
    1,524.73x = 2,287.27 × 429.07
  4. Step 4: Simplify right side
    1,524.73x = 981,398.94
  5. Step 5: Solve for x
    x = 981,398.94/1,524.73
  6. Step 6: Final answer
    x = 643.65

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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.