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Finding the Fourth Proportional to 551.76, 828.04 and 263.26

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Solution

The fourth proportional to 551.76, 828.04 and 263.26 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 828.04 = 263.26 : x
  2. Step 2: Convert to fraction form
    551.76/828.04 = 263.26/x
  3. Step 3: Cross multiply
    551.76x = 828.04 × 263.26
  4. Step 4: Simplify right side
    551.76x = 217,989.81
  5. Step 5: Solve for x
    x = 217,989.81/551.76
  6. Step 6: Final answer
    x = 395.08

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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.