Home / 1,131.40-1,697.23-401.06

Finding the Fourth Proportional to 1,131.40, 1,697.23 and 401.06

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Solution

The fourth proportional to 1,131.40, 1,697.23 and 401.06 is: 601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,697.23 = 401.06 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,697.23 = 401.06/x
  3. Step 3: Cross multiply
    1,131.40x = 1,697.23 × 401.06
  4. Step 4: Simplify right side
    1,131.40x = 680,691.06
  5. Step 5: Solve for x
    x = 680,691.06/1,131.40
  6. Step 6: Final answer
    x = 601.64

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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.