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Finding the Fourth Proportional to 743.83, 1,026.64 and 619.37

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Solution

The fourth proportional to 743.83, 1,026.64 and 619.37 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.83 : 1,026.64 = 619.37 : x
  2. Step 2: Convert to fraction form
    743.83/1,026.64 = 619.37/x
  3. Step 3: Cross multiply
    743.83x = 1,026.64 × 619.37
  4. Step 4: Simplify right side
    743.83x = 635,863.34
  5. Step 5: Solve for x
    x = 635,863.34/743.83
  6. Step 6: Final answer
    x = 854.85

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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.