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Finding the Fourth Proportional to 654.30, 980.78 and 491.63

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Solution

The fourth proportional to 654.30, 980.78 and 491.63 is: 736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 980.78 = 491.63 : x
  2. Step 2: Convert to fraction form
    654.30/980.78 = 491.63/x
  3. Step 3: Cross multiply
    654.30x = 980.78 × 491.63
  4. Step 4: Simplify right side
    654.30x = 482,173.51
  5. Step 5: Solve for x
    x = 482,173.51/654.30
  6. Step 6: Final answer
    x = 736.93

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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.