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Finding the Fourth Proportional to 883.07, 1,224.45 and 853.80

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Solution

The fourth proportional to 883.07, 1,224.45 and 853.80 is: 1,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.07 : 1,224.45 = 853.80 : x
  2. Step 2: Convert to fraction form
    883.07/1,224.45 = 853.80/x
  3. Step 3: Cross multiply
    883.07x = 1,224.45 × 853.80
  4. Step 4: Simplify right side
    883.07x = 1,045,429.29
  5. Step 5: Solve for x
    x = 1,045,429.29/883.07
  6. Step 6: Final answer
    x = 1,183.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.