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Finding the Fourth Proportional to 677.95, 935.61 and 383.23

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Solution

The fourth proportional to 677.95, 935.61 and 383.23 is: 528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.95 : 935.61 = 383.23 : x
  2. Step 2: Convert to fraction form
    677.95/935.61 = 383.23/x
  3. Step 3: Cross multiply
    677.95x = 935.61 × 383.23
  4. Step 4: Simplify right side
    677.95x = 358,553.82
  5. Step 5: Solve for x
    x = 358,553.82/677.95
  6. Step 6: Final answer
    x = 528.88

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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.