Home / 1,587.16-2,380.94-614.12

Finding the Fourth Proportional to 1,587.16, 2,380.94 and 614.12

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Solution

The fourth proportional to 1,587.16, 2,380.94 and 614.12 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.16 : 2,380.94 = 614.12 : x
  2. Step 2: Convert to fraction form
    1,587.16/2,380.94 = 614.12/x
  3. Step 3: Cross multiply
    1,587.16x = 2,380.94 × 614.12
  4. Step 4: Simplify right side
    1,587.16x = 1,462,182.87
  5. Step 5: Solve for x
    x = 1,462,182.87/1,587.16
  6. Step 6: Final answer
    x = 921.26

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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.