Home / 1,025.70-1,538.32-332.19

Finding the Fourth Proportional to 1,025.70, 1,538.32 and 332.19

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Solution

The fourth proportional to 1,025.70, 1,538.32 and 332.19 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,538.32 = 332.19 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,538.32 = 332.19/x
  3. Step 3: Cross multiply
    1,025.70x = 1,538.32 × 332.19
  4. Step 4: Simplify right side
    1,025.70x = 511,014.52
  5. Step 5: Solve for x
    x = 511,014.52/1,025.70
  6. Step 6: Final answer
    x = 498.21

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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.