Home / 1,162.20-1,743.10-431.40

Finding the Fourth Proportional to 1,162.20, 1,743.10 and 431.40

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Solution

The fourth proportional to 1,162.20, 1,743.10 and 431.40 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,743.10 = 431.40 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,743.10 = 431.40/x
  3. Step 3: Cross multiply
    1,162.20x = 1,743.10 × 431.40
  4. Step 4: Simplify right side
    1,162.20x = 751,973.34
  5. Step 5: Solve for x
    x = 751,973.34/1,162.20
  6. Step 6: Final answer
    x = 647.03

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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.