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Finding the Fourth Proportional to 677.75, 935.33 and 398.00

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Solution

The fourth proportional to 677.75, 935.33 and 398.00 is: 549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.75 : 935.33 = 398.00 : x
  2. Step 2: Convert to fraction form
    677.75/935.33 = 398.00/x
  3. Step 3: Cross multiply
    677.75x = 935.33 × 398.00
  4. Step 4: Simplify right side
    677.75x = 372,264.67
  5. Step 5: Solve for x
    x = 372,264.67/677.75
  6. Step 6: Final answer
    x = 549.26

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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.