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Finding the Fourth Proportional to 641.77, 960.80 and 574.99

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Solution

The fourth proportional to 641.77, 960.80 and 574.99 is: 860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.77 : 960.80 = 574.99 : x
  2. Step 2: Convert to fraction form
    641.77/960.80 = 574.99/x
  3. Step 3: Cross multiply
    641.77x = 960.80 × 574.99
  4. Step 4: Simplify right side
    641.77x = 552,450.39
  5. Step 5: Solve for x
    x = 552,450.39/641.77
  6. Step 6: Final answer
    x = 860.82

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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.