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Finding the Fourth Proportional to 654.20, 983.70 and 548.60

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Solution

The fourth proportional to 654.20, 983.70 and 548.60 is: 824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.20 : 983.70 = 548.60 : x
  2. Step 2: Convert to fraction form
    654.20/983.70 = 548.60/x
  3. Step 3: Cross multiply
    654.20x = 983.70 × 548.60
  4. Step 4: Simplify right side
    654.20x = 539,657.82
  5. Step 5: Solve for x
    x = 539,657.82/654.20
  6. Step 6: Final answer
    x = 824.91

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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.