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Finding the Fourth Proportional to 817.58, 1,125.77 and 641.26

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Solution

The fourth proportional to 817.58, 1,125.77 and 641.26 is: 882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.58 : 1,125.77 = 641.26 : x
  2. Step 2: Convert to fraction form
    817.58/1,125.77 = 641.26/x
  3. Step 3: Cross multiply
    817.58x = 1,125.77 × 641.26
  4. Step 4: Simplify right side
    817.58x = 721,911.27
  5. Step 5: Solve for x
    x = 721,911.27/817.58
  6. Step 6: Final answer
    x = 882.99

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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.