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Finding the Fourth Proportional to 945.21, 1,420.05 and 556.21

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Solution

The fourth proportional to 945.21, 1,420.05 and 556.21 is: 835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.21 : 1,420.05 = 556.21 : x
  2. Step 2: Convert to fraction form
    945.21/1,420.05 = 556.21/x
  3. Step 3: Cross multiply
    945.21x = 1,420.05 × 556.21
  4. Step 4: Simplify right side
    945.21x = 789,843.23
  5. Step 5: Solve for x
    x = 789,843.23/945.21
  6. Step 6: Final answer
    x = 835.63

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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.