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Finding the Fourth Proportional to 889.77, 1,335.32 and 716.85

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Solution

The fourth proportional to 889.77, 1,335.32 and 716.85 is: 1,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.77 : 1,335.32 = 716.85 : x
  2. Step 2: Convert to fraction form
    889.77/1,335.32 = 716.85/x
  3. Step 3: Cross multiply
    889.77x = 1,335.32 × 716.85
  4. Step 4: Simplify right side
    889.77x = 957,229.27
  5. Step 5: Solve for x
    x = 957,229.27/889.77
  6. Step 6: Final answer
    x = 1,075.82

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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.