Home / 1,588.23-2,380.35-808.43

Finding the Fourth Proportional to 1,588.23, 2,380.35 and 808.43

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Solution

The fourth proportional to 1,588.23, 2,380.35 and 808.43 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.23 : 2,380.35 = 808.43 : x
  2. Step 2: Convert to fraction form
    1,588.23/2,380.35 = 808.43/x
  3. Step 3: Cross multiply
    1,588.23x = 2,380.35 × 808.43
  4. Step 4: Simplify right side
    1,588.23x = 1,924,334.45
  5. Step 5: Solve for x
    x = 1,924,334.45/1,588.23
  6. Step 6: Final answer
    x = 1,211.62

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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.