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Finding the Fourth Proportional to 677.19, 934.08 and 415.22

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Solution

The fourth proportional to 677.19, 934.08 and 415.22 is: 572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.19 : 934.08 = 415.22 : x
  2. Step 2: Convert to fraction form
    677.19/934.08 = 415.22/x
  3. Step 3: Cross multiply
    677.19x = 934.08 × 415.22
  4. Step 4: Simplify right side
    677.19x = 387,848.70
  5. Step 5: Solve for x
    x = 387,848.70/677.19
  6. Step 6: Final answer
    x = 572.73

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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.