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Finding the Fourth Proportional to 653.53, 980.32 and 166.58

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Solution

The fourth proportional to 653.53, 980.32 and 166.58 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.53 : 980.32 = 166.58 : x
  2. Step 2: Convert to fraction form
    653.53/980.32 = 166.58/x
  3. Step 3: Cross multiply
    653.53x = 980.32 × 166.58
  4. Step 4: Simplify right side
    653.53x = 163,301.71
  5. Step 5: Solve for x
    x = 163,301.71/653.53
  6. Step 6: Final answer
    x = 249.88

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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.