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Finding the Fourth Proportional to 1,075.69, 1,613.82 and 306.19

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Solution

The fourth proportional to 1,075.69, 1,613.82 and 306.19 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.69 : 1,613.82 = 306.19 : x
  2. Step 2: Convert to fraction form
    1,075.69/1,613.82 = 306.19/x
  3. Step 3: Cross multiply
    1,075.69x = 1,613.82 × 306.19
  4. Step 4: Simplify right side
    1,075.69x = 494,135.55
  5. Step 5: Solve for x
    x = 494,135.55/1,075.69
  6. Step 6: Final answer
    x = 459.37

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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.