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Finding the Fourth Proportional to 2,287.23, 3,430.82 and 555.86

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Solution

The fourth proportional to 2,287.23, 3,430.82 and 555.86 is: 833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.23 : 3,430.82 = 555.86 : x
  2. Step 2: Convert to fraction form
    2,287.23/3,430.82 = 555.86/x
  3. Step 3: Cross multiply
    2,287.23x = 3,430.82 × 555.86
  4. Step 4: Simplify right side
    2,287.23x = 1,907,055.61
  5. Step 5: Solve for x
    x = 1,907,055.61/2,287.23
  6. Step 6: Final answer
    x = 833.78

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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.