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Finding the Fourth Proportional to 653.11, 978.44 and 323.66

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Solution

The fourth proportional to 653.11, 978.44 and 323.66 is: 484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.11 : 978.44 = 323.66 : x
  2. Step 2: Convert to fraction form
    653.11/978.44 = 323.66/x
  3. Step 3: Cross multiply
    653.11x = 978.44 × 323.66
  4. Step 4: Simplify right side
    653.11x = 316,682.72
  5. Step 5: Solve for x
    x = 316,682.72/653.11
  6. Step 6: Final answer
    x = 484.89

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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.