Home / 1,008.24-1,512.15-314.81

Finding the Fourth Proportional to 1,008.24, 1,512.15 and 314.81

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Solution

The fourth proportional to 1,008.24, 1,512.15 and 314.81 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.24 : 1,512.15 = 314.81 : x
  2. Step 2: Convert to fraction form
    1,008.24/1,512.15 = 314.81/x
  3. Step 3: Cross multiply
    1,008.24x = 1,512.15 × 314.81
  4. Step 4: Simplify right side
    1,008.24x = 476,039.94
  5. Step 5: Solve for x
    x = 476,039.94/1,008.24
  6. Step 6: Final answer
    x = 472.15

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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.