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Finding the Fourth Proportional to 940.10, 1,297.88 and 625.28

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Solution

The fourth proportional to 940.10, 1,297.88 and 625.28 is: 863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,297.88 = 625.28 : x
  2. Step 2: Convert to fraction form
    940.10/1,297.88 = 625.28/x
  3. Step 3: Cross multiply
    940.10x = 1,297.88 × 625.28
  4. Step 4: Simplify right side
    940.10x = 811,538.41
  5. Step 5: Solve for x
    x = 811,538.41/940.10
  6. Step 6: Final answer
    x = 863.25

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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.