Home / 1,537.16-2,301.62-805.19

Finding the Fourth Proportional to 1,537.16, 2,301.62 and 805.19

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Solution

The fourth proportional to 1,537.16, 2,301.62 and 805.19 is: 1,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.16 : 2,301.62 = 805.19 : x
  2. Step 2: Convert to fraction form
    1,537.16/2,301.62 = 805.19/x
  3. Step 3: Cross multiply
    1,537.16x = 2,301.62 × 805.19
  4. Step 4: Simplify right side
    1,537.16x = 1,853,249.17
  5. Step 5: Solve for x
    x = 1,853,249.17/1,537.16
  6. Step 6: Final answer
    x = 1,205.64

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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.