Home / 1,020.96-1,531.32-436.20

Finding the Fourth Proportional to 1,020.96, 1,531.32 and 436.20

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Solution

The fourth proportional to 1,020.96, 1,531.32 and 436.20 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.96 : 1,531.32 = 436.20 : x
  2. Step 2: Convert to fraction form
    1,020.96/1,531.32 = 436.20/x
  3. Step 3: Cross multiply
    1,020.96x = 1,531.32 × 436.20
  4. Step 4: Simplify right side
    1,020.96x = 667,961.78
  5. Step 5: Solve for x
    x = 667,961.78/1,020.96
  6. Step 6: Final answer
    x = 654.25

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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.