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Finding the Fourth Proportional to 932.05, 1,286.83 and 578.35

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Solution

The fourth proportional to 932.05, 1,286.83 and 578.35 is: 798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.05 : 1,286.83 = 578.35 : x
  2. Step 2: Convert to fraction form
    932.05/1,286.83 = 578.35/x
  3. Step 3: Cross multiply
    932.05x = 1,286.83 × 578.35
  4. Step 4: Simplify right side
    932.05x = 744,238.13
  5. Step 5: Solve for x
    x = 744,238.13/932.05
  6. Step 6: Final answer
    x = 798.50

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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.