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Finding the Fourth Proportional to 1,075.20, 1,610.88 and 731.52

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Solution

The fourth proportional to 1,075.20, 1,610.88 and 731.52 is: 1,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.20 : 1,610.88 = 731.52 : x
  2. Step 2: Convert to fraction form
    1,075.20/1,610.88 = 731.52/x
  3. Step 3: Cross multiply
    1,075.20x = 1,610.88 × 731.52
  4. Step 4: Simplify right side
    1,075.20x = 1,178,390.94
  5. Step 5: Solve for x
    x = 1,178,390.94/1,075.20
  6. Step 6: Final answer
    x = 1,095.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.