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Finding the Fourth Proportional to 889.90, 1,332.78 and 859.14

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Solution

The fourth proportional to 889.90, 1,332.78 and 859.14 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.90 : 1,332.78 = 859.14 : x
  2. Step 2: Convert to fraction form
    889.90/1,332.78 = 859.14/x
  3. Step 3: Cross multiply
    889.90x = 1,332.78 × 859.14
  4. Step 4: Simplify right side
    889.90x = 1,145,044.61
  5. Step 5: Solve for x
    x = 1,145,044.61/889.90
  6. Step 6: Final answer
    x = 1,286.71

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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.