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Finding the Fourth Proportional to 716.72, 1,075.25 and 223.11

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Solution

The fourth proportional to 716.72, 1,075.25 and 223.11 is: 334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 1,075.25 = 223.11 : x
  2. Step 2: Convert to fraction form
    716.72/1,075.25 = 223.11/x
  3. Step 3: Cross multiply
    716.72x = 1,075.25 × 223.11
  4. Step 4: Simplify right side
    716.72x = 239,899.59
  5. Step 5: Solve for x
    x = 239,899.59/716.72
  6. Step 6: Final answer
    x = 334.72

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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.