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Finding the Fourth Proportional to 660.29, 991.33 and 454.34

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Solution

The fourth proportional to 660.29, 991.33 and 454.34 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 991.33 = 454.34 : x
  2. Step 2: Convert to fraction form
    660.29/991.33 = 454.34/x
  3. Step 3: Cross multiply
    660.29x = 991.33 × 454.34
  4. Step 4: Simplify right side
    660.29x = 450,402.21
  5. Step 5: Solve for x
    x = 450,402.21/660.29
  6. Step 6: Final answer
    x = 682.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.