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Finding the Fourth Proportional to 948.09, 1,421.23 and 700.23

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Solution

The fourth proportional to 948.09, 1,421.23 and 700.23 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.09 : 1,421.23 = 700.23 : x
  2. Step 2: Convert to fraction form
    948.09/1,421.23 = 700.23/x
  3. Step 3: Cross multiply
    948.09x = 1,421.23 × 700.23
  4. Step 4: Simplify right side
    948.09x = 995,187.88
  5. Step 5: Solve for x
    x = 995,187.88/948.09
  6. Step 6: Final answer
    x = 1,049.68

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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.