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Finding the Fourth Proportional to 551.50, 824.20 and 442.78

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Solution

The fourth proportional to 551.50, 824.20 and 442.78 is: 661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.50 : 824.20 = 442.78 : x
  2. Step 2: Convert to fraction form
    551.50/824.20 = 442.78/x
  3. Step 3: Cross multiply
    551.50x = 824.20 × 442.78
  4. Step 4: Simplify right side
    551.50x = 364,939.28
  5. Step 5: Solve for x
    x = 364,939.28/551.50
  6. Step 6: Final answer
    x = 661.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.