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Finding the Fourth Proportional to 954.23, 1,428.92 and 799.79

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Solution

The fourth proportional to 954.23, 1,428.92 and 799.79 is: 1,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.23 : 1,428.92 = 799.79 : x
  2. Step 2: Convert to fraction form
    954.23/1,428.92 = 799.79/x
  3. Step 3: Cross multiply
    954.23x = 1,428.92 × 799.79
  4. Step 4: Simplify right side
    954.23x = 1,142,831.93
  5. Step 5: Solve for x
    x = 1,142,831.93/954.23
  6. Step 6: Final answer
    x = 1,197.65

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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.