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Finding the Fourth Proportional to 643.10, 960.74 and 410.14

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Solution

The fourth proportional to 643.10, 960.74 and 410.14 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 960.74 = 410.14 : x
  2. Step 2: Convert to fraction form
    643.10/960.74 = 410.14/x
  3. Step 3: Cross multiply
    643.10x = 960.74 × 410.14
  4. Step 4: Simplify right side
    643.10x = 394,036.53
  5. Step 5: Solve for x
    x = 394,036.53/643.10
  6. Step 6: Final answer
    x = 612.71

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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.