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Finding the Fourth Proportional to 551.80, 762.78 and 442.36

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Solution

The fourth proportional to 551.80, 762.78 and 442.36 is: 611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 762.78 = 442.36 : x
  2. Step 2: Convert to fraction form
    551.80/762.78 = 442.36/x
  3. Step 3: Cross multiply
    551.80x = 762.78 × 442.36
  4. Step 4: Simplify right side
    551.80x = 337,423.36
  5. Step 5: Solve for x
    x = 337,423.36/551.80
  6. Step 6: Final answer
    x = 611.50

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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.