Home / 1,538.32-2,307.92-513.04

Finding the Fourth Proportional to 1,538.32, 2,307.92 and 513.04

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Solution

The fourth proportional to 1,538.32, 2,307.92 and 513.04 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.32 : 2,307.92 = 513.04 : x
  2. Step 2: Convert to fraction form
    1,538.32/2,307.92 = 513.04/x
  3. Step 3: Cross multiply
    1,538.32x = 2,307.92 × 513.04
  4. Step 4: Simplify right side
    1,538.32x = 1,184,055.28
  5. Step 5: Solve for x
    x = 1,184,055.28/1,538.32
  6. Step 6: Final answer
    x = 769.71

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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.