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Finding the Fourth Proportional to 1,075.02, 1,612.72 and 382.09

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Solution

The fourth proportional to 1,075.02, 1,612.72 and 382.09 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.02 : 1,612.72 = 382.09 : x
  2. Step 2: Convert to fraction form
    1,075.02/1,612.72 = 382.09/x
  3. Step 3: Cross multiply
    1,075.02x = 1,612.72 × 382.09
  4. Step 4: Simplify right side
    1,075.02x = 616,204.18
  5. Step 5: Solve for x
    x = 616,204.18/1,075.02
  6. Step 6: Final answer
    x = 573.20

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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.