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Finding the Fourth Proportional to 947.49, 1,420.97 and 399.60

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Solution

The fourth proportional to 947.49, 1,420.97 and 399.60 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.49 : 1,420.97 = 399.60 : x
  2. Step 2: Convert to fraction form
    947.49/1,420.97 = 399.60/x
  3. Step 3: Cross multiply
    947.49x = 1,420.97 × 399.60
  4. Step 4: Simplify right side
    947.49x = 567,817.61
  5. Step 5: Solve for x
    x = 567,817.61/947.49
  6. Step 6: Final answer
    x = 599.29

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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.