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Finding the Fourth Proportional to 948.76, 1,424.96 and 660.76

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Solution

The fourth proportional to 948.76, 1,424.96 and 660.76 is: 992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.76 : 1,424.96 = 660.76 : x
  2. Step 2: Convert to fraction form
    948.76/1,424.96 = 660.76/x
  3. Step 3: Cross multiply
    948.76x = 1,424.96 × 660.76
  4. Step 4: Simplify right side
    948.76x = 941,556.57
  5. Step 5: Solve for x
    x = 941,556.57/948.76
  6. Step 6: Final answer
    x = 992.41

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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.