Home / 1,075.12-1,612.84-305.60

Finding the Fourth Proportional to 1,075.12, 1,612.84 and 305.60

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Solution

The fourth proportional to 1,075.12, 1,612.84 and 305.60 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.12 : 1,612.84 = 305.60 : x
  2. Step 2: Convert to fraction form
    1,075.12/1,612.84 = 305.60/x
  3. Step 3: Cross multiply
    1,075.12x = 1,612.84 × 305.60
  4. Step 4: Simplify right side
    1,075.12x = 492,883.90
  5. Step 5: Solve for x
    x = 492,883.90/1,075.12
  6. Step 6: Final answer
    x = 458.45

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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.