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Finding the Fourth Proportional to 945.06, 1,415.43 and 579.30

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Solution

The fourth proportional to 945.06, 1,415.43 and 579.30 is: 867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.06 : 1,415.43 = 579.30 : x
  2. Step 2: Convert to fraction form
    945.06/1,415.43 = 579.30/x
  3. Step 3: Cross multiply
    945.06x = 1,415.43 × 579.30
  4. Step 4: Simplify right side
    945.06x = 819,958.60
  5. Step 5: Solve for x
    x = 819,958.60/945.06
  6. Step 6: Final answer
    x = 867.63

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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.