Home / 1,537.10-2,305.64-426.53

Finding the Fourth Proportional to 1,537.10, 2,305.64 and 426.53

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Solution

The fourth proportional to 1,537.10, 2,305.64 and 426.53 is: 639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.10 : 2,305.64 = 426.53 : x
  2. Step 2: Convert to fraction form
    1,537.10/2,305.64 = 426.53/x
  3. Step 3: Cross multiply
    1,537.10x = 2,305.64 × 426.53
  4. Step 4: Simplify right side
    1,537.10x = 983,410.97
  5. Step 5: Solve for x
    x = 983,410.97/1,537.10
  6. Step 6: Final answer
    x = 639.79

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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.