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Finding the Fourth Proportional to 1,098.50, 1,647.78 and 414.50

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Solution

The fourth proportional to 1,098.50, 1,647.78 and 414.50 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.50 : 1,647.78 = 414.50 : x
  2. Step 2: Convert to fraction form
    1,098.50/1,647.78 = 414.50/x
  3. Step 3: Cross multiply
    1,098.50x = 1,647.78 × 414.50
  4. Step 4: Simplify right side
    1,098.50x = 683,004.81
  5. Step 5: Solve for x
    x = 683,004.81/1,098.50
  6. Step 6: Final answer
    x = 621.76

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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.