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Finding the Fourth Proportional to 654.72, 980.32 and 459.84

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Solution

The fourth proportional to 654.72, 980.32 and 459.84 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 980.32 = 459.84 : x
  2. Step 2: Convert to fraction form
    654.72/980.32 = 459.84/x
  3. Step 3: Cross multiply
    654.72x = 980.32 × 459.84
  4. Step 4: Simplify right side
    654.72x = 450,790.35
  5. Step 5: Solve for x
    x = 450,790.35/654.72
  6. Step 6: Final answer
    x = 688.52

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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.