Home / 1,588.21-2,382.08-614.19

Finding the Fourth Proportional to 1,588.21, 2,382.08 and 614.19

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Solution

The fourth proportional to 1,588.21, 2,382.08 and 614.19 is: 921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.21 : 2,382.08 = 614.19 : x
  2. Step 2: Convert to fraction form
    1,588.21/2,382.08 = 614.19/x
  3. Step 3: Cross multiply
    1,588.21x = 2,382.08 × 614.19
  4. Step 4: Simplify right side
    1,588.21x = 1,463,049.72
  5. Step 5: Solve for x
    x = 1,463,049.72/1,588.21
  6. Step 6: Final answer
    x = 921.19

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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.