Home / 1,026.81-1,541.30-450.09

Finding the Fourth Proportional to 1,026.81, 1,541.30 and 450.09

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Solution

The fourth proportional to 1,026.81, 1,541.30 and 450.09 is: 675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.81 : 1,541.30 = 450.09 : x
  2. Step 2: Convert to fraction form
    1,026.81/1,541.30 = 450.09/x
  3. Step 3: Cross multiply
    1,026.81x = 1,541.30 × 450.09
  4. Step 4: Simplify right side
    1,026.81x = 693,721.47
  5. Step 5: Solve for x
    x = 693,721.47/1,026.81
  6. Step 6: Final answer
    x = 675.61

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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.