Home / 1,026.18-1,538.25-376.74

Finding the Fourth Proportional to 1,026.18, 1,538.25 and 376.74

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Solution

The fourth proportional to 1,026.18, 1,538.25 and 376.74 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.18 : 1,538.25 = 376.74 : x
  2. Step 2: Convert to fraction form
    1,026.18/1,538.25 = 376.74/x
  3. Step 3: Cross multiply
    1,026.18x = 1,538.25 × 376.74
  4. Step 4: Simplify right side
    1,026.18x = 579,520.31
  5. Step 5: Solve for x
    x = 579,520.31/1,026.18
  6. Step 6: Final answer
    x = 564.74

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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.