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Finding the Fourth Proportional to 1,810.69, 2,715.90 and 512.26

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Solution

The fourth proportional to 1,810.69, 2,715.90 and 512.26 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.69 : 2,715.90 = 512.26 : x
  2. Step 2: Convert to fraction form
    1,810.69/2,715.90 = 512.26/x
  3. Step 3: Cross multiply
    1,810.69x = 2,715.90 × 512.26
  4. Step 4: Simplify right side
    1,810.69x = 1,391,246.93
  5. Step 5: Solve for x
    x = 1,391,246.93/1,810.69
  6. Step 6: Final answer
    x = 768.35

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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.