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Finding the Fourth Proportional to 744.50, 1,024.98 and 661.27

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Solution

The fourth proportional to 744.50, 1,024.98 and 661.27 is: 910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.50 : 1,024.98 = 661.27 : x
  2. Step 2: Convert to fraction form
    744.50/1,024.98 = 661.27/x
  3. Step 3: Cross multiply
    744.50x = 1,024.98 × 661.27
  4. Step 4: Simplify right side
    744.50x = 677,788.52
  5. Step 5: Solve for x
    x = 677,788.52/744.50
  6. Step 6: Final answer
    x = 910.39

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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.