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Finding the Fourth Proportional to 716.98, 1,075.38 and 197.02

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Solution

The fourth proportional to 716.98, 1,075.38 and 197.02 is: 295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.98 : 1,075.38 = 197.02 : x
  2. Step 2: Convert to fraction form
    716.98/1,075.38 = 197.02/x
  3. Step 3: Cross multiply
    716.98x = 1,075.38 × 197.02
  4. Step 4: Simplify right side
    716.98x = 211,871.37
  5. Step 5: Solve for x
    x = 211,871.37/716.98
  6. Step 6: Final answer
    x = 295.51

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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.