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Finding the Fourth Proportional to 1,624.25, 2,435.66 and 513.39

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Solution

The fourth proportional to 1,624.25, 2,435.66 and 513.39 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.25 : 2,435.66 = 513.39 : x
  2. Step 2: Convert to fraction form
    1,624.25/2,435.66 = 513.39/x
  3. Step 3: Cross multiply
    1,624.25x = 2,435.66 × 513.39
  4. Step 4: Simplify right side
    1,624.25x = 1,250,443.49
  5. Step 5: Solve for x
    x = 1,250,443.49/1,624.25
  6. Step 6: Final answer
    x = 769.86

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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.