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Finding the Fourth Proportional to 643.14, 960.66 and 535.01

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Solution

The fourth proportional to 643.14, 960.66 and 535.01 is: 799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 960.66 = 535.01 : x
  2. Step 2: Convert to fraction form
    643.14/960.66 = 535.01/x
  3. Step 3: Cross multiply
    643.14x = 960.66 × 535.01
  4. Step 4: Simplify right side
    643.14x = 513,957.90
  5. Step 5: Solve for x
    x = 513,957.90/643.14
  6. Step 6: Final answer
    x = 799.14

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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.