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Finding the Fourth Proportional to 1,098.14, 1,647.76 and 513.18

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Solution

The fourth proportional to 1,098.14, 1,647.76 and 513.18 is: 770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.14 : 1,647.76 = 513.18 : x
  2. Step 2: Convert to fraction form
    1,098.14/1,647.76 = 513.18/x
  3. Step 3: Cross multiply
    1,098.14x = 1,647.76 × 513.18
  4. Step 4: Simplify right side
    1,098.14x = 845,603.44
  5. Step 5: Solve for x
    x = 845,603.44/1,098.14
  6. Step 6: Final answer
    x = 770.03

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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.