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Finding the Fourth Proportional to 743.09, 1,021.75 and 663.91

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Solution

The fourth proportional to 743.09, 1,021.75 and 663.91 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.09 : 1,021.75 = 663.91 : x
  2. Step 2: Convert to fraction form
    743.09/1,021.75 = 663.91/x
  3. Step 3: Cross multiply
    743.09x = 1,021.75 × 663.91
  4. Step 4: Simplify right side
    743.09x = 678,345.83
  5. Step 5: Solve for x
    x = 678,345.83/743.09
  6. Step 6: Final answer
    x = 912.88

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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.