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Finding the Fourth Proportional to 627.05, 935.85 and 574.77

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Solution

The fourth proportional to 627.05, 935.85 and 574.77 is: 857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.05 : 935.85 = 574.77 : x
  2. Step 2: Convert to fraction form
    627.05/935.85 = 574.77/x
  3. Step 3: Cross multiply
    627.05x = 935.85 × 574.77
  4. Step 4: Simplify right side
    627.05x = 537,901.54
  5. Step 5: Solve for x
    x = 537,901.54/627.05
  6. Step 6: Final answer
    x = 857.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.