Home / 1,381.24-2,070.36-688.42

Finding the Fourth Proportional to 1,381.24, 2,070.36 and 688.42

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Solution

The fourth proportional to 1,381.24, 2,070.36 and 688.42 is: 1,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.24 : 2,070.36 = 688.42 : x
  2. Step 2: Convert to fraction form
    1,381.24/2,070.36 = 688.42/x
  3. Step 3: Cross multiply
    1,381.24x = 2,070.36 × 688.42
  4. Step 4: Simplify right side
    1,381.24x = 1,425,282.41
  5. Step 5: Solve for x
    x = 1,425,282.41/1,381.24
  6. Step 6: Final answer
    x = 1,031.88

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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.