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Finding the Fourth Proportional to 667.84, 997.64 and 564.64

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Solution

The fourth proportional to 667.84, 997.64 and 564.64 is: 843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.84 : 997.64 = 564.64 : x
  2. Step 2: Convert to fraction form
    667.84/997.64 = 564.64/x
  3. Step 3: Cross multiply
    667.84x = 997.64 × 564.64
  4. Step 4: Simplify right side
    667.84x = 563,307.45
  5. Step 5: Solve for x
    x = 563,307.45/667.84
  6. Step 6: Final answer
    x = 843.48

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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.