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Finding the Fourth Proportional to 2,585.57, 3,878.31 and 637.77

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Solution

The fourth proportional to 2,585.57, 3,878.31 and 637.77 is: 956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.57 : 3,878.31 = 637.77 : x
  2. Step 2: Convert to fraction form
    2,585.57/3,878.31 = 637.77/x
  3. Step 3: Cross multiply
    2,585.57x = 3,878.31 × 637.77
  4. Step 4: Simplify right side
    2,585.57x = 2,473,469.77
  5. Step 5: Solve for x
    x = 2,473,469.77/2,585.57
  6. Step 6: Final answer
    x = 956.65

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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.