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Finding the Fourth Proportional to 743.96, 1,026.40 and 482.12

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Solution

The fourth proportional to 743.96, 1,026.40 and 482.12 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.96 : 1,026.40 = 482.12 : x
  2. Step 2: Convert to fraction form
    743.96/1,026.40 = 482.12/x
  3. Step 3: Cross multiply
    743.96x = 1,026.40 × 482.12
  4. Step 4: Simplify right side
    743.96x = 494,847.97
  5. Step 5: Solve for x
    x = 494,847.97/743.96
  6. Step 6: Final answer
    x = 665.15

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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.