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Finding the Fourth Proportional to 551.54, 828.95 and 537.59

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Solution

The fourth proportional to 551.54, 828.95 and 537.59 is: 807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.54 : 828.95 = 537.59 : x
  2. Step 2: Convert to fraction form
    551.54/828.95 = 537.59/x
  3. Step 3: Cross multiply
    551.54x = 828.95 × 537.59
  4. Step 4: Simplify right side
    551.54x = 445,635.23
  5. Step 5: Solve for x
    x = 445,635.23/551.54
  6. Step 6: Final answer
    x = 807.98

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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.