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Finding the Fourth Proportional to 837.96, 1,154.70 and 691.64

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Solution

The fourth proportional to 837.96, 1,154.70 and 691.64 is: 953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,154.70 = 691.64 : x
  2. Step 2: Convert to fraction form
    837.96/1,154.70 = 691.64/x
  3. Step 3: Cross multiply
    837.96x = 1,154.70 × 691.64
  4. Step 4: Simplify right side
    837.96x = 798,636.71
  5. Step 5: Solve for x
    x = 798,636.71/837.96
  6. Step 6: Final answer
    x = 953.07

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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.