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Finding the Fourth Proportional to 551.51, 825.64 and 334.43

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Solution

The fourth proportional to 551.51, 825.64 and 334.43 is: 500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 825.64 = 334.43 : x
  2. Step 2: Convert to fraction form
    551.51/825.64 = 334.43/x
  3. Step 3: Cross multiply
    551.51x = 825.64 × 334.43
  4. Step 4: Simplify right side
    551.51x = 276,118.79
  5. Step 5: Solve for x
    x = 276,118.79/551.51
  6. Step 6: Final answer
    x = 500.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.