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Finding the Fourth Proportional to 677.88, 934.54 and 546.66

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Solution

The fourth proportional to 677.88, 934.54 and 546.66 is: 753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 934.54 = 546.66 : x
  2. Step 2: Convert to fraction form
    677.88/934.54 = 546.66/x
  3. Step 3: Cross multiply
    677.88x = 934.54 × 546.66
  4. Step 4: Simplify right side
    677.88x = 510,874.27
  5. Step 5: Solve for x
    x = 510,874.27/677.88
  6. Step 6: Final answer
    x = 753.64

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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.