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Finding the Fourth Proportional to 1,041.72, 1,429.64 and 943.26

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Solution

The fourth proportional to 1,041.72, 1,429.64 and 943.26 is: 1,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.72 : 1,429.64 = 943.26 : x
  2. Step 2: Convert to fraction form
    1,041.72/1,429.64 = 943.26/x
  3. Step 3: Cross multiply
    1,041.72x = 1,429.64 × 943.26
  4. Step 4: Simplify right side
    1,041.72x = 1,348,517.51
  5. Step 5: Solve for x
    x = 1,348,517.51/1,041.72
  6. Step 6: Final answer
    x = 1,294.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.