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Finding the Fourth Proportional to 743.73, 1,026.42 and 619.17

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Solution

The fourth proportional to 743.73, 1,026.42 and 619.17 is: 854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.73 : 1,026.42 = 619.17 : x
  2. Step 2: Convert to fraction form
    743.73/1,026.42 = 619.17/x
  3. Step 3: Cross multiply
    743.73x = 1,026.42 × 619.17
  4. Step 4: Simplify right side
    743.73x = 635,528.47
  5. Step 5: Solve for x
    x = 635,528.47/743.73
  6. Step 6: Final answer
    x = 854.52

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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.