Home / 1,119.14-1,677.50-493.88

Finding the Fourth Proportional to 1,119.14, 1,677.50 and 493.88

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Solution

The fourth proportional to 1,119.14, 1,677.50 and 493.88 is: 740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.14 : 1,677.50 = 493.88 : x
  2. Step 2: Convert to fraction form
    1,119.14/1,677.50 = 493.88/x
  3. Step 3: Cross multiply
    1,119.14x = 1,677.50 × 493.88
  4. Step 4: Simplify right side
    1,119.14x = 828,485.42
  5. Step 5: Solve for x
    x = 828,485.42/1,119.14
  6. Step 6: Final answer
    x = 740.29

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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.