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Finding the Fourth Proportional to 2,570.10, 3,855.14 and 622.31

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Solution

The fourth proportional to 2,570.10, 3,855.14 and 622.31 is: 933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.10 : 3,855.14 = 622.31 : x
  2. Step 2: Convert to fraction form
    2,570.10/3,855.14 = 622.31/x
  3. Step 3: Cross multiply
    2,570.10x = 3,855.14 × 622.31
  4. Step 4: Simplify right side
    2,570.10x = 2,399,069.79
  5. Step 5: Solve for x
    x = 2,399,069.79/2,570.10
  6. Step 6: Final answer
    x = 933.45

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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.