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Finding the Fourth Proportional to 964.65, 1,331.21 and 566.23

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Solution

The fourth proportional to 964.65, 1,331.21 and 566.23 is: 781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.65 : 1,331.21 = 566.23 : x
  2. Step 2: Convert to fraction form
    964.65/1,331.21 = 566.23/x
  3. Step 3: Cross multiply
    964.65x = 1,331.21 × 566.23
  4. Step 4: Simplify right side
    964.65x = 753,764.38
  5. Step 5: Solve for x
    x = 753,764.38/964.65
  6. Step 6: Final answer
    x = 781.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.