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Finding the Fourth Proportional to 654.29, 980.56 and 346.35

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Solution

The fourth proportional to 654.29, 980.56 and 346.35 is: 519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.29 : 980.56 = 346.35 : x
  2. Step 2: Convert to fraction form
    654.29/980.56 = 346.35/x
  3. Step 3: Cross multiply
    654.29x = 980.56 × 346.35
  4. Step 4: Simplify right side
    654.29x = 339,616.96
  5. Step 5: Solve for x
    x = 339,616.96/654.29
  6. Step 6: Final answer
    x = 519.06

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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.