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Finding the Fourth Proportional to 1,269.65, 1,907.22 and 1,075.05

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Solution

The fourth proportional to 1,269.65, 1,907.22 and 1,075.05 is: 1,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.65 : 1,907.22 = 1,075.05 : x
  2. Step 2: Convert to fraction form
    1,269.65/1,907.22 = 1,075.05/x
  3. Step 3: Cross multiply
    1,269.65x = 1,907.22 × 1,075.05
  4. Step 4: Simplify right side
    1,269.65x = 2,050,356.86
  5. Step 5: Solve for x
    x = 2,050,356.86/1,269.65
  6. Step 6: Final answer
    x = 1,614.90

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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.