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Finding the Fourth Proportional to 677.70, 935.20 and 397.93

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Solution

The fourth proportional to 677.70, 935.20 and 397.93 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 935.20 = 397.93 : x
  2. Step 2: Convert to fraction form
    677.70/935.20 = 397.93/x
  3. Step 3: Cross multiply
    677.70x = 935.20 × 397.93
  4. Step 4: Simplify right side
    677.70x = 372,144.14
  5. Step 5: Solve for x
    x = 372,144.14/677.70
  6. Step 6: Final answer
    x = 549.13

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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.