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Finding the Fourth Proportional to 964.12, 1,446.79 and 554.06

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Solution

The fourth proportional to 964.12, 1,446.79 and 554.06 is: 831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.12 : 1,446.79 = 554.06 : x
  2. Step 2: Convert to fraction form
    964.12/1,446.79 = 554.06/x
  3. Step 3: Cross multiply
    964.12x = 1,446.79 × 554.06
  4. Step 4: Simplify right side
    964.12x = 801,608.47
  5. Step 5: Solve for x
    x = 801,608.47/964.12
  6. Step 6: Final answer
    x = 831.44

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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.