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Finding the Fourth Proportional to 949.37, 1,303.10 and 842.12

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Solution

The fourth proportional to 949.37, 1,303.10 and 842.12 is: 1,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.37 : 1,303.10 = 842.12 : x
  2. Step 2: Convert to fraction form
    949.37/1,303.10 = 842.12/x
  3. Step 3: Cross multiply
    949.37x = 1,303.10 × 842.12
  4. Step 4: Simplify right side
    949.37x = 1,097,355.85
  5. Step 5: Solve for x
    x = 1,097,355.85/949.37
  6. Step 6: Final answer
    x = 1,155.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.