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Finding the Fourth Proportional to 956.70, 1,321.77 and 663.48

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Solution

The fourth proportional to 956.70, 1,321.77 and 663.48 is: 916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.70 : 1,321.77 = 663.48 : x
  2. Step 2: Convert to fraction form
    956.70/1,321.77 = 663.48/x
  3. Step 3: Cross multiply
    956.70x = 1,321.77 × 663.48
  4. Step 4: Simplify right side
    956.70x = 876,967.96
  5. Step 5: Solve for x
    x = 876,967.96/956.70
  6. Step 6: Final answer
    x = 916.66

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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.