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Finding the Fourth Proportional to 677.83, 935.30 and 398.04

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Solution

The fourth proportional to 677.83, 935.30 and 398.04 is: 549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.83 : 935.30 = 398.04 : x
  2. Step 2: Convert to fraction form
    677.83/935.30 = 398.04/x
  3. Step 3: Cross multiply
    677.83x = 935.30 × 398.04
  4. Step 4: Simplify right side
    677.83x = 372,287.16
  5. Step 5: Solve for x
    x = 372,287.16/677.83
  6. Step 6: Final answer
    x = 549.23

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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.