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Finding the Fourth Proportional to 932.82, 1,287.32 and 513.21

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Solution

The fourth proportional to 932.82, 1,287.32 and 513.21 is: 708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.82 : 1,287.32 = 513.21 : x
  2. Step 2: Convert to fraction form
    932.82/1,287.32 = 513.21/x
  3. Step 3: Cross multiply
    932.82x = 1,287.32 × 513.21
  4. Step 4: Simplify right side
    932.82x = 660,662.93
  5. Step 5: Solve for x
    x = 660,662.93/932.82
  6. Step 6: Final answer
    x = 708.24

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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.