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Finding the Fourth Proportional to 677.70, 935.12 and 397.88

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Solution

The fourth proportional to 677.70, 935.12 and 397.88 is: 549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 935.12 = 397.88 : x
  2. Step 2: Convert to fraction form
    677.70/935.12 = 397.88/x
  3. Step 3: Cross multiply
    677.70x = 935.12 × 397.88
  4. Step 4: Simplify right side
    677.70x = 372,058.88
  5. Step 5: Solve for x
    x = 372,058.88/677.70
  6. Step 6: Final answer
    x = 549.00

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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.