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Finding the Fourth Proportional to 743.28, 1,026.03 and 448.48

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Solution

The fourth proportional to 743.28, 1,026.03 and 448.48 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.28 : 1,026.03 = 448.48 : x
  2. Step 2: Convert to fraction form
    743.28/1,026.03 = 448.48/x
  3. Step 3: Cross multiply
    743.28x = 1,026.03 × 448.48
  4. Step 4: Simplify right side
    743.28x = 460,153.93
  5. Step 5: Solve for x
    x = 460,153.93/743.28
  6. Step 6: Final answer
    x = 619.09

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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.