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Finding the Fourth Proportional to 654.08, 982.04 and 573.88

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Solution

The fourth proportional to 654.08, 982.04 and 573.88 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 982.04 = 573.88 : x
  2. Step 2: Convert to fraction form
    654.08/982.04 = 573.88/x
  3. Step 3: Cross multiply
    654.08x = 982.04 × 573.88
  4. Step 4: Simplify right side
    654.08x = 563,573.12
  5. Step 5: Solve for x
    x = 563,573.12/654.08
  6. Step 6: Final answer
    x = 861.63

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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.