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Finding the Fourth Proportional to 656.82, 985.23 and 547.47

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Solution

The fourth proportional to 656.82, 985.23 and 547.47 is: 821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 985.23 = 547.47 : x
  2. Step 2: Convert to fraction form
    656.82/985.23 = 547.47/x
  3. Step 3: Cross multiply
    656.82x = 985.23 × 547.47
  4. Step 4: Simplify right side
    656.82x = 539,383.87
  5. Step 5: Solve for x
    x = 539,383.87/656.82
  6. Step 6: Final answer
    x = 821.21

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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.