Home / 1,132.07-1,698.24-401.72

Finding the Fourth Proportional to 1,132.07, 1,698.24 and 401.72

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Solution

The fourth proportional to 1,132.07, 1,698.24 and 401.72 is: 602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,698.24 = 401.72 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,698.24 = 401.72/x
  3. Step 3: Cross multiply
    1,132.07x = 1,698.24 × 401.72
  4. Step 4: Simplify right side
    1,132.07x = 682,216.97
  5. Step 5: Solve for x
    x = 682,216.97/1,132.07
  6. Step 6: Final answer
    x = 602.63

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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.