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Finding the Fourth Proportional to 956.46, 1,319.03 and 641.47

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Solution

The fourth proportional to 956.46, 1,319.03 and 641.47 is: 884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.46 : 1,319.03 = 641.47 : x
  2. Step 2: Convert to fraction form
    956.46/1,319.03 = 641.47/x
  3. Step 3: Cross multiply
    956.46x = 1,319.03 × 641.47
  4. Step 4: Simplify right side
    956.46x = 846,120.16
  5. Step 5: Solve for x
    x = 846,120.16/956.46
  6. Step 6: Final answer
    x = 884.64

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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.