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Finding the Fourth Proportional to 2,287.06, 3,430.60 and 555.69

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Solution

The fourth proportional to 2,287.06, 3,430.60 and 555.69 is: 833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.06 : 3,430.60 = 555.69 : x
  2. Step 2: Convert to fraction form
    2,287.06/3,430.60 = 555.69/x
  3. Step 3: Cross multiply
    2,287.06x = 3,430.60 × 555.69
  4. Step 4: Simplify right side
    2,287.06x = 1,906,350.11
  5. Step 5: Solve for x
    x = 1,906,350.11/2,287.06
  6. Step 6: Final answer
    x = 833.54

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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.