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Finding the Fourth Proportional to 677.20, 935.30 and 455.76

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Solution

The fourth proportional to 677.20, 935.30 and 455.76 is: 629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.20 : 935.30 = 455.76 : x
  2. Step 2: Convert to fraction form
    677.20/935.30 = 455.76/x
  3. Step 3: Cross multiply
    677.20x = 935.30 × 455.76
  4. Step 4: Simplify right side
    677.20x = 426,276.10
  5. Step 5: Solve for x
    x = 426,276.10/677.20
  6. Step 6: Final answer
    x = 629.47

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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.