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Finding the Fourth Proportional to 953.52, 1,313.82 and 691.08

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Solution

The fourth proportional to 953.52, 1,313.82 and 691.08 is: 952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.52 : 1,313.82 = 691.08 : x
  2. Step 2: Convert to fraction form
    953.52/1,313.82 = 691.08/x
  3. Step 3: Cross multiply
    953.52x = 1,313.82 × 691.08
  4. Step 4: Simplify right side
    953.52x = 907,954.73
  5. Step 5: Solve for x
    x = 907,954.73/953.52
  6. Step 6: Final answer
    x = 952.21

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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.