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Finding the Fourth Proportional to 937.09, 1,293.50 and 643.21

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Solution

The fourth proportional to 937.09, 1,293.50 and 643.21 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.09 : 1,293.50 = 643.21 : x
  2. Step 2: Convert to fraction form
    937.09/1,293.50 = 643.21/x
  3. Step 3: Cross multiply
    937.09x = 1,293.50 × 643.21
  4. Step 4: Simplify right side
    937.09x = 831,992.14
  5. Step 5: Solve for x
    x = 831,992.14/937.09
  6. Step 6: Final answer
    x = 887.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.