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Finding the Fourth Proportional to 654.20, 979.68 and 365.03

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Solution

The fourth proportional to 654.20, 979.68 and 365.03 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.20 : 979.68 = 365.03 : x
  2. Step 2: Convert to fraction form
    654.20/979.68 = 365.03/x
  3. Step 3: Cross multiply
    654.20x = 979.68 × 365.03
  4. Step 4: Simplify right side
    654.20x = 357,612.59
  5. Step 5: Solve for x
    x = 357,612.59/654.20
  6. Step 6: Final answer
    x = 546.64

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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.