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Finding the Fourth Proportional to 654.48, 980.37 and 557.46

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Solution

The fourth proportional to 654.48, 980.37 and 557.46 is: 835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 980.37 = 557.46 : x
  2. Step 2: Convert to fraction form
    654.48/980.37 = 557.46/x
  3. Step 3: Cross multiply
    654.48x = 980.37 × 557.46
  4. Step 4: Simplify right side
    654.48x = 546,517.06
  5. Step 5: Solve for x
    x = 546,517.06/654.48
  6. Step 6: Final answer
    x = 835.04

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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.