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Finding the Fourth Proportional to 662.12, 988.40 and 569.78

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Solution

The fourth proportional to 662.12, 988.40 and 569.78 is: 850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.12 : 988.40 = 569.78 : x
  2. Step 2: Convert to fraction form
    662.12/988.40 = 569.78/x
  3. Step 3: Cross multiply
    662.12x = 988.40 × 569.78
  4. Step 4: Simplify right side
    662.12x = 563,170.55
  5. Step 5: Solve for x
    x = 563,170.55/662.12
  6. Step 6: Final answer
    x = 850.56

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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.