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Finding the Fourth Proportional to 2,287.06, 3,430.28 and 643.75

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Solution

The fourth proportional to 2,287.06, 3,430.28 and 643.75 is: 965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.06 : 3,430.28 = 643.75 : x
  2. Step 2: Convert to fraction form
    2,287.06/3,430.28 = 643.75/x
  3. Step 3: Cross multiply
    2,287.06x = 3,430.28 × 643.75
  4. Step 4: Simplify right side
    2,287.06x = 2,208,231.63
  5. Step 5: Solve for x
    x = 2,208,231.63/2,287.06
  6. Step 6: Final answer
    x = 965.53

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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.