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Finding the Fourth Proportional to 654.24, 980.40 and 329.12

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Solution

The fourth proportional to 654.24, 980.40 and 329.12 is: 493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 980.40 = 329.12 : x
  2. Step 2: Convert to fraction form
    654.24/980.40 = 329.12/x
  3. Step 3: Cross multiply
    654.24x = 980.40 × 329.12
  4. Step 4: Simplify right side
    654.24x = 322,669.25
  5. Step 5: Solve for x
    x = 322,669.25/654.24
  6. Step 6: Final answer
    x = 493.20

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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.