Home / 1,587.78-2,381.80-492.15

Finding the Fourth Proportional to 1,587.78, 2,381.80 and 492.15

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Solution

The fourth proportional to 1,587.78, 2,381.80 and 492.15 is: 738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.78 : 2,381.80 = 492.15 : x
  2. Step 2: Convert to fraction form
    1,587.78/2,381.80 = 492.15/x
  3. Step 3: Cross multiply
    1,587.78x = 2,381.80 × 492.15
  4. Step 4: Simplify right side
    1,587.78x = 1,172,202.87
  5. Step 5: Solve for x
    x = 1,172,202.87/1,587.78
  6. Step 6: Final answer
    x = 738.27

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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.