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Finding the Fourth Proportional to 1,029.51, 1,544.11 and 298.94

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Solution

The fourth proportional to 1,029.51, 1,544.11 and 298.94 is: 448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.51 : 1,544.11 = 298.94 : x
  2. Step 2: Convert to fraction form
    1,029.51/1,544.11 = 298.94/x
  3. Step 3: Cross multiply
    1,029.51x = 1,544.11 × 298.94
  4. Step 4: Simplify right side
    1,029.51x = 461,587.03
  5. Step 5: Solve for x
    x = 461,587.03/1,029.51
  6. Step 6: Final answer
    x = 448.36

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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.