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Finding the Fourth Proportional to 948.11, 1,421.08 and 937.85

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Solution

The fourth proportional to 948.11, 1,421.08 and 937.85 is: 1,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.11 : 1,421.08 = 937.85 : x
  2. Step 2: Convert to fraction form
    948.11/1,421.08 = 937.85/x
  3. Step 3: Cross multiply
    948.11x = 1,421.08 × 937.85
  4. Step 4: Simplify right side
    948.11x = 1,332,750.43
  5. Step 5: Solve for x
    x = 1,332,750.43/948.11
  6. Step 6: Final answer
    x = 1,405.70

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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.