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Finding the Fourth Proportional to 643.90, 967.65 and 564.70

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Solution

The fourth proportional to 643.90, 967.65 and 564.70 is: 848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.90 : 967.65 = 564.70 : x
  2. Step 2: Convert to fraction form
    643.90/967.65 = 564.70/x
  3. Step 3: Cross multiply
    643.90x = 967.65 × 564.70
  4. Step 4: Simplify right side
    643.90x = 546,431.96
  5. Step 5: Solve for x
    x = 546,431.96/643.90
  6. Step 6: Final answer
    x = 848.63

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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.