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Finding the Fourth Proportional to 828.70, 1,143.93 and 741.22

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Solution

The fourth proportional to 828.70, 1,143.93 and 741.22 is: 1,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.70 : 1,143.93 = 741.22 : x
  2. Step 2: Convert to fraction form
    828.70/1,143.93 = 741.22/x
  3. Step 3: Cross multiply
    828.70x = 1,143.93 × 741.22
  4. Step 4: Simplify right side
    828.70x = 847,903.79
  5. Step 5: Solve for x
    x = 847,903.79/828.70
  6. Step 6: Final answer
    x = 1,023.17

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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.