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Finding the Fourth Proportional to 1,099.76, 1,648.87 and 551.55

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Solution

The fourth proportional to 1,099.76, 1,648.87 and 551.55 is: 826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.76 : 1,648.87 = 551.55 : x
  2. Step 2: Convert to fraction form
    1,099.76/1,648.87 = 551.55/x
  3. Step 3: Cross multiply
    1,099.76x = 1,648.87 × 551.55
  4. Step 4: Simplify right side
    1,099.76x = 909,432.87
  5. Step 5: Solve for x
    x = 909,432.87/1,099.76
  6. Step 6: Final answer
    x = 826.94

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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.