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Finding the Fourth Proportional to 1,075.46, 1,612.83 and 426.42

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Solution

The fourth proportional to 1,075.46, 1,612.83 and 426.42 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.46 : 1,612.83 = 426.42 : x
  2. Step 2: Convert to fraction form
    1,075.46/1,612.83 = 426.42/x
  3. Step 3: Cross multiply
    1,075.46x = 1,612.83 × 426.42
  4. Step 4: Simplify right side
    1,075.46x = 687,742.97
  5. Step 5: Solve for x
    x = 687,742.97/1,075.46
  6. Step 6: Final answer
    x = 639.49

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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.