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Finding the Fourth Proportional to 657.80, 981.82 and 569.56

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Solution

The fourth proportional to 657.80, 981.82 and 569.56 is: 850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 981.82 = 569.56 : x
  2. Step 2: Convert to fraction form
    657.80/981.82 = 569.56/x
  3. Step 3: Cross multiply
    657.80x = 981.82 × 569.56
  4. Step 4: Simplify right side
    657.80x = 559,200.49
  5. Step 5: Solve for x
    x = 559,200.49/657.80
  6. Step 6: Final answer
    x = 850.11

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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.