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Finding the Fourth Proportional to 2,570.46, 3,855.71 and 622.66

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Solution

The fourth proportional to 2,570.46, 3,855.71 and 622.66 is: 933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.46 : 3,855.71 = 622.66 : x
  2. Step 2: Convert to fraction form
    2,570.46/3,855.71 = 622.66/x
  3. Step 3: Cross multiply
    2,570.46x = 3,855.71 × 622.66
  4. Step 4: Simplify right side
    2,570.46x = 2,400,796.39
  5. Step 5: Solve for x
    x = 2,400,796.39/2,570.46
  6. Step 6: Final answer
    x = 933.99

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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.