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Finding the Fourth Proportional to 1,075.33, 1,612.72 and 344.85

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Solution

The fourth proportional to 1,075.33, 1,612.72 and 344.85 is: 517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.33 : 1,612.72 = 344.85 : x
  2. Step 2: Convert to fraction form
    1,075.33/1,612.72 = 344.85/x
  3. Step 3: Cross multiply
    1,075.33x = 1,612.72 × 344.85
  4. Step 4: Simplify right side
    1,075.33x = 556,146.49
  5. Step 5: Solve for x
    x = 556,146.49/1,075.33
  6. Step 6: Final answer
    x = 517.19

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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.