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Finding the Fourth Proportional to 554.76, 768.80 and 546.93

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Solution

The fourth proportional to 554.76, 768.80 and 546.93 is: 757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 768.80 = 546.93 : x
  2. Step 2: Convert to fraction form
    554.76/768.80 = 546.93/x
  3. Step 3: Cross multiply
    554.76x = 768.80 × 546.93
  4. Step 4: Simplify right side
    554.76x = 420,482.11
  5. Step 5: Solve for x
    x = 420,482.11/554.76
  6. Step 6: Final answer
    x = 757.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.