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Finding the Fourth Proportional to 677.80, 935.88 and 595.88

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Solution

The fourth proportional to 677.80, 935.88 and 595.88 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.80 : 935.88 = 595.88 : x
  2. Step 2: Convert to fraction form
    677.80/935.88 = 595.88/x
  3. Step 3: Cross multiply
    677.80x = 935.88 × 595.88
  4. Step 4: Simplify right side
    677.80x = 557,672.17
  5. Step 5: Solve for x
    x = 557,672.17/677.80
  6. Step 6: Final answer
    x = 822.77

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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.