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Finding the Fourth Proportional to 1,650.94, 2,278.51 and 943.00

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Solution

The fourth proportional to 1,650.94, 2,278.51 and 943.00 is: 1,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.94 : 2,278.51 = 943.00 : x
  2. Step 2: Convert to fraction form
    1,650.94/2,278.51 = 943.00/x
  3. Step 3: Cross multiply
    1,650.94x = 2,278.51 × 943.00
  4. Step 4: Simplify right side
    1,650.94x = 2,148,626.88
  5. Step 5: Solve for x
    x = 2,148,626.88/1,650.94
  6. Step 6: Final answer
    x = 1,301.46

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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.