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Finding the Fourth Proportional to 643.76, 960.48 and 592.12

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Solution

The fourth proportional to 643.76, 960.48 and 592.12 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.76 : 960.48 = 592.12 : x
  2. Step 2: Convert to fraction form
    643.76/960.48 = 592.12/x
  3. Step 3: Cross multiply
    643.76x = 960.48 × 592.12
  4. Step 4: Simplify right side
    643.76x = 568,719.42
  5. Step 5: Solve for x
    x = 568,719.42/643.76
  6. Step 6: Final answer
    x = 883.43

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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.