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Finding the Fourth Proportional to 936.46, 1,402.34 and 643.19

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Solution

The fourth proportional to 936.46, 1,402.34 and 643.19 is: 963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.46 : 1,402.34 = 643.19 : x
  2. Step 2: Convert to fraction form
    936.46/1,402.34 = 643.19/x
  3. Step 3: Cross multiply
    936.46x = 1,402.34 × 643.19
  4. Step 4: Simplify right side
    936.46x = 901,970.53
  5. Step 5: Solve for x
    x = 901,970.53/936.46
  6. Step 6: Final answer
    x = 963.17

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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.