Home / 1,162.36-1,742.19-431.47

Finding the Fourth Proportional to 1,162.36, 1,742.19 and 431.47

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Solution

The fourth proportional to 1,162.36, 1,742.19 and 431.47 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.36 : 1,742.19 = 431.47 : x
  2. Step 2: Convert to fraction form
    1,162.36/1,742.19 = 431.47/x
  3. Step 3: Cross multiply
    1,162.36x = 1,742.19 × 431.47
  4. Step 4: Simplify right side
    1,162.36x = 751,702.72
  5. Step 5: Solve for x
    x = 751,702.72/1,162.36
  6. Step 6: Final answer
    x = 646.70

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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.