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Finding the Fourth Proportional to 710.82, 980.25 and 654.96

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Solution

The fourth proportional to 710.82, 980.25 and 654.96 is: 903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 980.25 = 654.96 : x
  2. Step 2: Convert to fraction form
    710.82/980.25 = 654.96/x
  3. Step 3: Cross multiply
    710.82x = 980.25 × 654.96
  4. Step 4: Simplify right side
    710.82x = 642,024.54
  5. Step 5: Solve for x
    x = 642,024.54/710.82
  6. Step 6: Final answer
    x = 903.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.