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Finding the Fourth Proportional to 677.60, 935.06 and 382.86

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Solution

The fourth proportional to 677.60, 935.06 and 382.86 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 935.06 = 382.86 : x
  2. Step 2: Convert to fraction form
    677.60/935.06 = 382.86/x
  3. Step 3: Cross multiply
    677.60x = 935.06 × 382.86
  4. Step 4: Simplify right side
    677.60x = 357,995.16
  5. Step 5: Solve for x
    x = 357,995.16/677.60
  6. Step 6: Final answer
    x = 528.33

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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.