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Finding the Fourth Proportional to 932, 1,286.40 and 582.88

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Solution

The fourth proportional to 932, 1,286.40 and 582.88 is: 804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932 : 1,286.40 = 582.88 : x
  2. Step 2: Convert to fraction form
    932/1,286.40 = 582.88/x
  3. Step 3: Cross multiply
    932x = 1,286.40 × 582.88
  4. Step 4: Simplify right side
    932x = 749,816.83
  5. Step 5: Solve for x
    x = 749,816.83/932
  6. Step 6: Final answer
    x = 804.52

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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.