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Finding the Fourth Proportional to 964.97, 1,446.87 and 315.62

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Solution

The fourth proportional to 964.97, 1,446.87 and 315.62 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.97 : 1,446.87 = 315.62 : x
  2. Step 2: Convert to fraction form
    964.97/1,446.87 = 315.62/x
  3. Step 3: Cross multiply
    964.97x = 1,446.87 × 315.62
  4. Step 4: Simplify right side
    964.97x = 456,661.11
  5. Step 5: Solve for x
    x = 456,661.11/964.97
  6. Step 6: Final answer
    x = 473.24

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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.