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Finding the Fourth Proportional to 956.31, 1,321.50 and 814.44

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Solution

The fourth proportional to 956.31, 1,321.50 and 814.44 is: 1,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.31 : 1,321.50 = 814.44 : x
  2. Step 2: Convert to fraction form
    956.31/1,321.50 = 814.44/x
  3. Step 3: Cross multiply
    956.31x = 1,321.50 × 814.44
  4. Step 4: Simplify right side
    956.31x = 1,076,282.46
  5. Step 5: Solve for x
    x = 1,076,282.46/956.31
  6. Step 6: Final answer
    x = 1,125.45

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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.