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Finding the Fourth Proportional to 716.54, 1,075.46 and 443.16

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Solution

The fourth proportional to 716.54, 1,075.46 and 443.16 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.54 : 1,075.46 = 443.16 : x
  2. Step 2: Convert to fraction form
    716.54/1,075.46 = 443.16/x
  3. Step 3: Cross multiply
    716.54x = 1,075.46 × 443.16
  4. Step 4: Simplify right side
    716.54x = 476,596.58
  5. Step 5: Solve for x
    x = 476,596.58/716.54
  6. Step 6: Final answer
    x = 665.14

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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.