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Finding the Fourth Proportional to 653.24, 980.82 and 643.64

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Solution

The fourth proportional to 653.24, 980.82 and 643.64 is: 966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 980.82 = 643.64 : x
  2. Step 2: Convert to fraction form
    653.24/980.82 = 643.64/x
  3. Step 3: Cross multiply
    653.24x = 980.82 × 643.64
  4. Step 4: Simplify right side
    653.24x = 631,294.98
  5. Step 5: Solve for x
    x = 631,294.98/653.24
  6. Step 6: Final answer
    x = 966.41

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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.