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Finding the Fourth Proportional to 716.81, 1,075.88 and 443.43

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Solution

The fourth proportional to 716.81, 1,075.88 and 443.43 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.81 : 1,075.88 = 443.43 : x
  2. Step 2: Convert to fraction form
    716.81/1,075.88 = 443.43/x
  3. Step 3: Cross multiply
    716.81x = 1,075.88 × 443.43
  4. Step 4: Simplify right side
    716.81x = 477,075.25
  5. Step 5: Solve for x
    x = 477,075.25/716.81
  6. Step 6: Final answer
    x = 665.56

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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.