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Finding the Fourth Proportional to 653.97, 980.97 and 167.03

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Solution

The fourth proportional to 653.97, 980.97 and 167.03 is: 250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 980.97 = 167.03 : x
  2. Step 2: Convert to fraction form
    653.97/980.97 = 167.03/x
  3. Step 3: Cross multiply
    653.97x = 980.97 × 167.03
  4. Step 4: Simplify right side
    653.97x = 163,846.51
  5. Step 5: Solve for x
    x = 163,846.51/653.97
  6. Step 6: Final answer
    x = 250.54

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.