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Finding the Fourth Proportional to 551.84, 761.82 and 404.80

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Solution

The fourth proportional to 551.84, 761.82 and 404.80 is: 558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.84 : 761.82 = 404.80 : x
  2. Step 2: Convert to fraction form
    551.84/761.82 = 404.80/x
  3. Step 3: Cross multiply
    551.84x = 761.82 × 404.80
  4. Step 4: Simplify right side
    551.84x = 308,384.74
  5. Step 5: Solve for x
    x = 308,384.74/551.84
  6. Step 6: Final answer
    x = 558.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.