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Finding the Fourth Proportional to 551.86, 828.71 and 461.26

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Solution

The fourth proportional to 551.86, 828.71 and 461.26 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 828.71 = 461.26 : x
  2. Step 2: Convert to fraction form
    551.86/828.71 = 461.26/x
  3. Step 3: Cross multiply
    551.86x = 828.71 × 461.26
  4. Step 4: Simplify right side
    551.86x = 382,248.47
  5. Step 5: Solve for x
    x = 382,248.47/551.86
  6. Step 6: Final answer
    x = 692.65

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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.