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Finding the Fourth Proportional to 654.04, 979.68 and 393.22

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Solution

The fourth proportional to 654.04, 979.68 and 393.22 is: 589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 979.68 = 393.22 : x
  2. Step 2: Convert to fraction form
    654.04/979.68 = 393.22/x
  3. Step 3: Cross multiply
    654.04x = 979.68 × 393.22
  4. Step 4: Simplify right side
    654.04x = 385,229.77
  5. Step 5: Solve for x
    x = 385,229.77/654.04
  6. Step 6: Final answer
    x = 589.00

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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.