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Finding the Fourth Proportional to 675.64, 932.52 and 395.86

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Solution

The fourth proportional to 675.64, 932.52 and 395.86 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 932.52 = 395.86 : x
  2. Step 2: Convert to fraction form
    675.64/932.52 = 395.86/x
  3. Step 3: Cross multiply
    675.64x = 932.52 × 395.86
  4. Step 4: Simplify right side
    675.64x = 369,147.37
  5. Step 5: Solve for x
    x = 369,147.37/675.64
  6. Step 6: Final answer
    x = 546.37

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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.