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Finding the Fourth Proportional to 654.32, 980.40 and 461

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Solution

The fourth proportional to 654.32, 980.40 and 461 is: 690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 980.40 = 461 : x
  2. Step 2: Convert to fraction form
    654.32/980.40 = 461/x
  3. Step 3: Cross multiply
    654.32x = 980.40 × 461
  4. Step 4: Simplify right side
    654.32x = 451,964.40
  5. Step 5: Solve for x
    x = 451,964.40/654.32
  6. Step 6: Final answer
    x = 690.74

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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.