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Finding the Fourth Proportional to 643.54, 959.96 and 570.64

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Solution

The fourth proportional to 643.54, 959.96 and 570.64 is: 851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.54 : 959.96 = 570.64 : x
  2. Step 2: Convert to fraction form
    643.54/959.96 = 570.64/x
  3. Step 3: Cross multiply
    643.54x = 959.96 × 570.64
  4. Step 4: Simplify right side
    643.54x = 547,791.57
  5. Step 5: Solve for x
    x = 547,791.57/643.54
  6. Step 6: Final answer
    x = 851.22

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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.