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Finding the Fourth Proportional to 677.08, 932.88 and 606.88

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Solution

The fourth proportional to 677.08, 932.88 and 606.88 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 932.88 = 606.88 : x
  2. Step 2: Convert to fraction form
    677.08/932.88 = 606.88/x
  3. Step 3: Cross multiply
    677.08x = 932.88 × 606.88
  4. Step 4: Simplify right side
    677.08x = 566,146.21
  5. Step 5: Solve for x
    x = 566,146.21/677.08
  6. Step 6: Final answer
    x = 836.16

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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.