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Finding the Fourth Proportional to 2,855.25, 4,282.95 and 907.45

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Solution

The fourth proportional to 2,855.25, 4,282.95 and 907.45 is: 1,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 4,282.95 = 907.45 : x
  2. Step 2: Convert to fraction form
    2,855.25/4,282.95 = 907.45/x
  3. Step 3: Cross multiply
    2,855.25x = 4,282.95 × 907.45
  4. Step 4: Simplify right side
    2,855.25x = 3,886,577.21
  5. Step 5: Solve for x
    x = 3,886,577.21/2,855.25
  6. Step 6: Final answer
    x = 1,361.20

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1.5x scale

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.