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Finding the Fourth Proportional to 2,287.00, 3,430.49 and 555.63

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Solution

The fourth proportional to 2,287.00, 3,430.49 and 555.63 is: 833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.00 : 3,430.49 = 555.63 : x
  2. Step 2: Convert to fraction form
    2,287.00/3,430.49 = 555.63/x
  3. Step 3: Cross multiply
    2,287.00x = 3,430.49 × 555.63
  4. Step 4: Simplify right side
    2,287.00x = 1,906,067.52
  5. Step 5: Solve for x
    x = 1,906,067.52/2,287.00
  6. Step 6: Final answer
    x = 833.44

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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.