Home / 1,029.14-1,543.94-298.78

Finding the Fourth Proportional to 1,029.14, 1,543.94 and 298.78

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Solution

The fourth proportional to 1,029.14, 1,543.94 and 298.78 is: 448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,543.94 = 298.78 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,543.94 = 298.78/x
  3. Step 3: Cross multiply
    1,029.14x = 1,543.94 × 298.78
  4. Step 4: Simplify right side
    1,029.14x = 461,298.39
  5. Step 5: Solve for x
    x = 461,298.39/1,029.14
  6. Step 6: Final answer
    x = 448.24

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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.