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Finding the Fourth Proportional to 677.03, 934.21 and 397.16

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Solution

The fourth proportional to 677.03, 934.21 and 397.16 is: 548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 934.21 = 397.16 : x
  2. Step 2: Convert to fraction form
    677.03/934.21 = 397.16/x
  3. Step 3: Cross multiply
    677.03x = 934.21 × 397.16
  4. Step 4: Simplify right side
    677.03x = 371,032.19
  5. Step 5: Solve for x
    x = 371,032.19/677.03
  6. Step 6: Final answer
    x = 548.03

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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.