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Finding the Fourth Proportional to 943.89, 1,303.34 and 612.88

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Solution

The fourth proportional to 943.89, 1,303.34 and 612.88 is: 846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.89 : 1,303.34 = 612.88 : x
  2. Step 2: Convert to fraction form
    943.89/1,303.34 = 612.88/x
  3. Step 3: Cross multiply
    943.89x = 1,303.34 × 612.88
  4. Step 4: Simplify right side
    943.89x = 798,791.02
  5. Step 5: Solve for x
    x = 798,791.02/943.89
  6. Step 6: Final answer
    x = 846.28

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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.