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Finding the Fourth Proportional to 947.25, 1,420.46 and 478.43

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Solution

The fourth proportional to 947.25, 1,420.46 and 478.43 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,420.46 = 478.43 : x
  2. Step 2: Convert to fraction form
    947.25/1,420.46 = 478.43/x
  3. Step 3: Cross multiply
    947.25x = 1,420.46 × 478.43
  4. Step 4: Simplify right side
    947.25x = 679,597.64
  5. Step 5: Solve for x
    x = 679,597.64/947.25
  6. Step 6: Final answer
    x = 717.44

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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.