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Finding the Fourth Proportional to 657.14, 982.04 and 535.54

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Solution

The fourth proportional to 657.14, 982.04 and 535.54 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 982.04 = 535.54 : x
  2. Step 2: Convert to fraction form
    657.14/982.04 = 535.54/x
  3. Step 3: Cross multiply
    657.14x = 982.04 × 535.54
  4. Step 4: Simplify right side
    657.14x = 525,921.70
  5. Step 5: Solve for x
    x = 525,921.70/657.14
  6. Step 6: Final answer
    x = 800.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.