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Finding the Fourth Proportional to 889.18, 1,331.62 and 758.42

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Solution

The fourth proportional to 889.18, 1,331.62 and 758.42 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.18 : 1,331.62 = 758.42 : x
  2. Step 2: Convert to fraction form
    889.18/1,331.62 = 758.42/x
  3. Step 3: Cross multiply
    889.18x = 1,331.62 × 758.42
  4. Step 4: Simplify right side
    889.18x = 1,009,927.24
  5. Step 5: Solve for x
    x = 1,009,927.24/889.18
  6. Step 6: Final answer
    x = 1,135.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.