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Finding the Fourth Proportional to 889.83, 1,220.15 and 858.93

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Solution

The fourth proportional to 889.83, 1,220.15 and 858.93 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.83 : 1,220.15 = 858.93 : x
  2. Step 2: Convert to fraction form
    889.83/1,220.15 = 858.93/x
  3. Step 3: Cross multiply
    889.83x = 1,220.15 × 858.93
  4. Step 4: Simplify right side
    889.83x = 1,048,025.59
  5. Step 5: Solve for x
    x = 1,048,025.59/889.83
  6. Step 6: Final answer
    x = 1,177.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.