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Finding the Fourth Proportional to 1,033.34, 1,549.41 and 512.18

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Solution

The fourth proportional to 1,033.34, 1,549.41 and 512.18 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.34 : 1,549.41 = 512.18 : x
  2. Step 2: Convert to fraction form
    1,033.34/1,549.41 = 512.18/x
  3. Step 3: Cross multiply
    1,033.34x = 1,549.41 × 512.18
  4. Step 4: Simplify right side
    1,033.34x = 793,576.81
  5. Step 5: Solve for x
    x = 793,576.81/1,033.34
  6. Step 6: Final answer
    x = 767.97

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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.