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Finding the Fourth Proportional to 936.64, 1,292.46 and 538.36

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Solution

The fourth proportional to 936.64, 1,292.46 and 538.36 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.64 : 1,292.46 = 538.36 : x
  2. Step 2: Convert to fraction form
    936.64/1,292.46 = 538.36/x
  3. Step 3: Cross multiply
    936.64x = 1,292.46 × 538.36
  4. Step 4: Simplify right side
    936.64x = 695,808.77
  5. Step 5: Solve for x
    x = 695,808.77/936.64
  6. Step 6: Final answer
    x = 742.88

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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.