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Finding the Fourth Proportional to 943.44, 1,421.45 and 856.84

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Solution

The fourth proportional to 943.44, 1,421.45 and 856.84 is: 1,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.44 : 1,421.45 = 856.84 : x
  2. Step 2: Convert to fraction form
    943.44/1,421.45 = 856.84/x
  3. Step 3: Cross multiply
    943.44x = 1,421.45 × 856.84
  4. Step 4: Simplify right side
    943.44x = 1,217,955.22
  5. Step 5: Solve for x
    x = 1,217,955.22/943.44
  6. Step 6: Final answer
    x = 1,290.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.