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Finding the Fourth Proportional to 677.92, 935.61 and 415.99

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Solution

The fourth proportional to 677.92, 935.61 and 415.99 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.92 : 935.61 = 415.99 : x
  2. Step 2: Convert to fraction form
    677.92/935.61 = 415.99/x
  3. Step 3: Cross multiply
    677.92x = 935.61 × 415.99
  4. Step 4: Simplify right side
    677.92x = 389,204.40
  5. Step 5: Solve for x
    x = 389,204.40/677.92
  6. Step 6: Final answer
    x = 574.12

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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.