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Finding the Fourth Proportional to 641.62, 967.75 and 565.53

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Solution

The fourth proportional to 641.62, 967.75 and 565.53 is: 852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.62 : 967.75 = 565.53 : x
  2. Step 2: Convert to fraction form
    641.62/967.75 = 565.53/x
  3. Step 3: Cross multiply
    641.62x = 967.75 × 565.53
  4. Step 4: Simplify right side
    641.62x = 547,291.66
  5. Step 5: Solve for x
    x = 547,291.66/641.62
  6. Step 6: Final answer
    x = 852.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.