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Finding the Fourth Proportional to 889.56, 1,334.07 and 519.12

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Solution

The fourth proportional to 889.56, 1,334.07 and 519.12 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.56 : 1,334.07 = 519.12 : x
  2. Step 2: Convert to fraction form
    889.56/1,334.07 = 519.12/x
  3. Step 3: Cross multiply
    889.56x = 1,334.07 × 519.12
  4. Step 4: Simplify right side
    889.56x = 692,542.42
  5. Step 5: Solve for x
    x = 692,542.42/889.56
  6. Step 6: Final answer
    x = 778.52

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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.