Home / 1,587.30-2,381.29-807.41

Finding the Fourth Proportional to 1,587.30, 2,381.29 and 807.41

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Solution

The fourth proportional to 1,587.30, 2,381.29 and 807.41 is: 1,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.30 : 2,381.29 = 807.41 : x
  2. Step 2: Convert to fraction form
    1,587.30/2,381.29 = 807.41/x
  3. Step 3: Cross multiply
    1,587.30x = 2,381.29 × 807.41
  4. Step 4: Simplify right side
    1,587.30x = 1,922,677.36
  5. Step 5: Solve for x
    x = 1,922,677.36/1,587.30
  6. Step 6: Final answer
    x = 1,211.29

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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.