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Finding the Fourth Proportional to 654.04, 980.45 and 243.07

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Solution

The fourth proportional to 654.04, 980.45 and 243.07 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 980.45 = 243.07 : x
  2. Step 2: Convert to fraction form
    654.04/980.45 = 243.07/x
  3. Step 3: Cross multiply
    654.04x = 980.45 × 243.07
  4. Step 4: Simplify right side
    654.04x = 238,317.98
  5. Step 5: Solve for x
    x = 238,317.98/654.04
  6. Step 6: Final answer
    x = 364.38

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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.