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Finding the Fourth Proportional to 937.23, 1,293.93 and 642.93

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Solution

The fourth proportional to 937.23, 1,293.93 and 642.93 is: 887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.23 : 1,293.93 = 642.93 : x
  2. Step 2: Convert to fraction form
    937.23/1,293.93 = 642.93/x
  3. Step 3: Cross multiply
    937.23x = 1,293.93 × 642.93
  4. Step 4: Simplify right side
    937.23x = 831,906.41
  5. Step 5: Solve for x
    x = 831,906.41/937.23
  6. Step 6: Final answer
    x = 887.62

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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.