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Finding the Fourth Proportional to 1,075.43, 1,613.00 and 381.92

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Solution

The fourth proportional to 1,075.43, 1,613.00 and 381.92 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.43 : 1,613.00 = 381.92 : x
  2. Step 2: Convert to fraction form
    1,075.43/1,613.00 = 381.92/x
  3. Step 3: Cross multiply
    1,075.43x = 1,613.00 × 381.92
  4. Step 4: Simplify right side
    1,075.43x = 616,029.85
  5. Step 5: Solve for x
    x = 616,029.85/1,075.43
  6. Step 6: Final answer
    x = 572.82

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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.