Home / 1,127.03-1,690.31-305.42

Finding the Fourth Proportional to 1,127.03, 1,690.31 and 305.42

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Solution

The fourth proportional to 1,127.03, 1,690.31 and 305.42 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.03 : 1,690.31 = 305.42 : x
  2. Step 2: Convert to fraction form
    1,127.03/1,690.31 = 305.42/x
  3. Step 3: Cross multiply
    1,127.03x = 1,690.31 × 305.42
  4. Step 4: Simplify right side
    1,127.03x = 516,244.50
  5. Step 5: Solve for x
    x = 516,244.50/1,127.03
  6. Step 6: Final answer
    x = 458.06

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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.