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Finding the Fourth Proportional to 964.78, 1,446.33 and 573.82

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Solution

The fourth proportional to 964.78, 1,446.33 and 573.82 is: 860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.78 : 1,446.33 = 573.82 : x
  2. Step 2: Convert to fraction form
    964.78/1,446.33 = 573.82/x
  3. Step 3: Cross multiply
    964.78x = 1,446.33 × 573.82
  4. Step 4: Simplify right side
    964.78x = 829,933.08
  5. Step 5: Solve for x
    x = 829,933.08/964.78
  6. Step 6: Final answer
    x = 860.23

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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.