Home / 1,025.10-1,537.92-294.66

Finding the Fourth Proportional to 1,025.10, 1,537.92 and 294.66

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Solution

The fourth proportional to 1,025.10, 1,537.92 and 294.66 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.10 : 1,537.92 = 294.66 : x
  2. Step 2: Convert to fraction form
    1,025.10/1,537.92 = 294.66/x
  3. Step 3: Cross multiply
    1,025.10x = 1,537.92 × 294.66
  4. Step 4: Simplify right side
    1,025.10x = 453,163.51
  5. Step 5: Solve for x
    x = 453,163.51/1,025.10
  6. Step 6: Final answer
    x = 442.07

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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.