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Finding the Fourth Proportional to 966, 1,333.47 and 612.43

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Solution

The fourth proportional to 966, 1,333.47 and 612.43 is: 845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    966 : 1,333.47 = 612.43 : x
  2. Step 2: Convert to fraction form
    966/1,333.47 = 612.43/x
  3. Step 3: Cross multiply
    966x = 1,333.47 × 612.43
  4. Step 4: Simplify right side
    966x = 816,657.03
  5. Step 5: Solve for x
    x = 816,657.03/966
  6. Step 6: Final answer
    x = 845.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.