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Finding the Fourth Proportional to 940.10, 1,297.78 and 625.88

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Solution

The fourth proportional to 940.10, 1,297.78 and 625.88 is: 864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,297.78 = 625.88 : x
  2. Step 2: Convert to fraction form
    940.10/1,297.78 = 625.88/x
  3. Step 3: Cross multiply
    940.10x = 1,297.78 × 625.88
  4. Step 4: Simplify right side
    940.10x = 812,256.23
  5. Step 5: Solve for x
    x = 812,256.23/940.10
  6. Step 6: Final answer
    x = 864.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.