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Finding the Fourth Proportional to 956.66, 1,319.19 and 691.40

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Solution

The fourth proportional to 956.66, 1,319.19 and 691.40 is: 953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.66 : 1,319.19 = 691.40 : x
  2. Step 2: Convert to fraction form
    956.66/1,319.19 = 691.40/x
  3. Step 3: Cross multiply
    956.66x = 1,319.19 × 691.40
  4. Step 4: Simplify right side
    956.66x = 912,087.97
  5. Step 5: Solve for x
    x = 912,087.97/956.66
  6. Step 6: Final answer
    x = 953.41

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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.