Home / 1,537.12-2,305.78-441.46

Finding the Fourth Proportional to 1,537.12, 2,305.78 and 441.46

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Solution

The fourth proportional to 1,537.12, 2,305.78 and 441.46 is: 662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.12 : 2,305.78 = 441.46 : x
  2. Step 2: Convert to fraction form
    1,537.12/2,305.78 = 441.46/x
  3. Step 3: Cross multiply
    1,537.12x = 2,305.78 × 441.46
  4. Step 4: Simplify right side
    1,537.12x = 1,017,909.64
  5. Step 5: Solve for x
    x = 1,017,909.64/1,537.12
  6. Step 6: Final answer
    x = 662.22

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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.