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Finding the Fourth Proportional to 932.05, 1,285.83 and 538.84

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Solution

The fourth proportional to 932.05, 1,285.83 and 538.84 is: 743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.05 : 1,285.83 = 538.84 : x
  2. Step 2: Convert to fraction form
    932.05/1,285.83 = 538.84/x
  3. Step 3: Cross multiply
    932.05x = 1,285.83 × 538.84
  4. Step 4: Simplify right side
    932.05x = 692,856.64
  5. Step 5: Solve for x
    x = 692,856.64/932.05
  6. Step 6: Final answer
    x = 743.37

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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.