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Finding the Fourth Proportional to 937.57, 1,284.45 and 902.51

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Solution

The fourth proportional to 937.57, 1,284.45 and 902.51 is: 1,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.57 : 1,284.45 = 902.51 : x
  2. Step 2: Convert to fraction form
    937.57/1,284.45 = 902.51/x
  3. Step 3: Cross multiply
    937.57x = 1,284.45 × 902.51
  4. Step 4: Simplify right side
    937.57x = 1,159,224.46
  5. Step 5: Solve for x
    x = 1,159,224.46/937.57
  6. Step 6: Final answer
    x = 1,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.