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Finding the Fourth Proportional to 677.26, 934.54 and 397.58

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Solution

The fourth proportional to 677.26, 934.54 and 397.58 is: 548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.26 : 934.54 = 397.58 : x
  2. Step 2: Convert to fraction form
    677.26/934.54 = 397.58/x
  3. Step 3: Cross multiply
    677.26x = 934.54 × 397.58
  4. Step 4: Simplify right side
    677.26x = 371,548.75
  5. Step 5: Solve for x
    x = 371,548.75/677.26
  6. Step 6: Final answer
    x = 548.60

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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.