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Finding the Fourth Proportional to 815.83, 1,217.77 and 701.01

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Solution

The fourth proportional to 815.83, 1,217.77 and 701.01 is: 1,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.83 : 1,217.77 = 701.01 : x
  2. Step 2: Convert to fraction form
    815.83/1,217.77 = 701.01/x
  3. Step 3: Cross multiply
    815.83x = 1,217.77 × 701.01
  4. Step 4: Simplify right side
    815.83x = 853,668.95
  5. Step 5: Solve for x
    x = 853,668.95/815.83
  6. Step 6: Final answer
    x = 1,046.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.