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Finding the Fourth Proportional to 1,244.49, 1,866.95 and 513.66

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Solution

The fourth proportional to 1,244.49, 1,866.95 and 513.66 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.49 : 1,866.95 = 513.66 : x
  2. Step 2: Convert to fraction form
    1,244.49/1,866.95 = 513.66/x
  3. Step 3: Cross multiply
    1,244.49x = 1,866.95 × 513.66
  4. Step 4: Simplify right side
    1,244.49x = 958,977.54
  5. Step 5: Solve for x
    x = 958,977.54/1,244.49
  6. Step 6: Final answer
    x = 770.58

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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.