Home / 1,025.23-1,538.10-331.98

Finding the Fourth Proportional to 1,025.23, 1,538.10 and 331.98

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Solution

The fourth proportional to 1,025.23, 1,538.10 and 331.98 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.23 : 1,538.10 = 331.98 : x
  2. Step 2: Convert to fraction form
    1,025.23/1,538.10 = 331.98/x
  3. Step 3: Cross multiply
    1,025.23x = 1,538.10 × 331.98
  4. Step 4: Simplify right side
    1,025.23x = 510,618.44
  5. Step 5: Solve for x
    x = 510,618.44/1,025.23
  6. Step 6: Final answer
    x = 498.05

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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.