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Finding the Fourth Proportional to 964.54, 1,331.06 and 566.44

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Solution

The fourth proportional to 964.54, 1,331.06 and 566.44 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.54 : 1,331.06 = 566.44 : x
  2. Step 2: Convert to fraction form
    964.54/1,331.06 = 566.44/x
  3. Step 3: Cross multiply
    964.54x = 1,331.06 × 566.44
  4. Step 4: Simplify right side
    964.54x = 753,965.63
  5. Step 5: Solve for x
    x = 753,965.63/964.54
  6. Step 6: Final answer
    x = 781.68

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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.