Home / 1,742.23-2,613.61-631.73

Finding the Fourth Proportional to 1,742.23, 2,613.61 and 631.73

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Solution

The fourth proportional to 1,742.23, 2,613.61 and 631.73 is: 947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.23 : 2,613.61 = 631.73 : x
  2. Step 2: Convert to fraction form
    1,742.23/2,613.61 = 631.73/x
  3. Step 3: Cross multiply
    1,742.23x = 2,613.61 × 631.73
  4. Step 4: Simplify right side
    1,742.23x = 1,651,103.17
  5. Step 5: Solve for x
    x = 1,651,103.17/1,742.23
  6. Step 6: Final answer
    x = 947.69

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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.