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Finding the Fourth Proportional to 1,208.69, 1,812.34 and 645.13

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Solution

The fourth proportional to 1,208.69, 1,812.34 and 645.13 is: 967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.69 : 1,812.34 = 645.13 : x
  2. Step 2: Convert to fraction form
    1,208.69/1,812.34 = 645.13/x
  3. Step 3: Cross multiply
    1,208.69x = 1,812.34 × 645.13
  4. Step 4: Simplify right side
    1,208.69x = 1,169,194.90
  5. Step 5: Solve for x
    x = 1,169,194.90/1,208.69
  6. Step 6: Final answer
    x = 967.32

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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.