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Finding the Fourth Proportional to 1,287.13, 1,930.83 and 465.49

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Solution

The fourth proportional to 1,287.13, 1,930.83 and 465.49 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.13 : 1,930.83 = 465.49 : x
  2. Step 2: Convert to fraction form
    1,287.13/1,930.83 = 465.49/x
  3. Step 3: Cross multiply
    1,287.13x = 1,930.83 × 465.49
  4. Step 4: Simplify right side
    1,287.13x = 898,782.06
  5. Step 5: Solve for x
    x = 898,782.06/1,287.13
  6. Step 6: Final answer
    x = 698.28

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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.