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Finding the Fourth Proportional to 551.16, 765.71 and 546.06

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Solution

The fourth proportional to 551.16, 765.71 and 546.06 is: 758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.16 : 765.71 = 546.06 : x
  2. Step 2: Convert to fraction form
    551.16/765.71 = 546.06/x
  3. Step 3: Cross multiply
    551.16x = 765.71 × 546.06
  4. Step 4: Simplify right side
    551.16x = 418,120.87
  5. Step 5: Solve for x
    x = 418,120.87/551.16
  6. Step 6: Final answer
    x = 758.62

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