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Finding the Fourth Proportional to 937.12, 1,293.32 and 643.36

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Solution

The fourth proportional to 937.12, 1,293.32 and 643.36 is: 887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,293.32 = 643.36 : x
  2. Step 2: Convert to fraction form
    937.12/1,293.32 = 643.36/x
  3. Step 3: Cross multiply
    937.12x = 1,293.32 × 643.36
  4. Step 4: Simplify right side
    937.12x = 832,070.36
  5. Step 5: Solve for x
    x = 832,070.36/937.12
  6. Step 6: Final answer
    x = 887.90

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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.