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Finding the Fourth Proportional to 743.47, 1,026.38 and 694.39

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Solution

The fourth proportional to 743.47, 1,026.38 and 694.39 is: 958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.47 : 1,026.38 = 694.39 : x
  2. Step 2: Convert to fraction form
    743.47/1,026.38 = 694.39/x
  3. Step 3: Cross multiply
    743.47x = 1,026.38 × 694.39
  4. Step 4: Simplify right side
    743.47x = 712,708.01
  5. Step 5: Solve for x
    x = 712,708.01/743.47
  6. Step 6: Final answer
    x = 958.62

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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.