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Finding the Fourth Proportional to 551.43, 825.93 and 442.69

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Solution

The fourth proportional to 551.43, 825.93 and 442.69 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.43 : 825.93 = 442.69 : x
  2. Step 2: Convert to fraction form
    551.43/825.93 = 442.69/x
  3. Step 3: Cross multiply
    551.43x = 825.93 × 442.69
  4. Step 4: Simplify right side
    551.43x = 365,628.89
  5. Step 5: Solve for x
    x = 365,628.89/551.43
  6. Step 6: Final answer
    x = 663.06

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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.