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Finding the Fourth Proportional to 677.16, 934.54 and 415.13

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Solution

The fourth proportional to 677.16, 934.54 and 415.13 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 934.54 = 415.13 : x
  2. Step 2: Convert to fraction form
    677.16/934.54 = 415.13/x
  3. Step 3: Cross multiply
    677.16x = 934.54 × 415.13
  4. Step 4: Simplify right side
    677.16x = 387,949.88
  5. Step 5: Solve for x
    x = 387,949.88/677.16
  6. Step 6: Final answer
    x = 572.91

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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.