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Finding the Fourth Proportional to 940.78, 1,297.87 and 609.24

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Solution

The fourth proportional to 940.78, 1,297.87 and 609.24 is: 840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,297.87 = 609.24 : x
  2. Step 2: Convert to fraction form
    940.78/1,297.87 = 609.24/x
  3. Step 3: Cross multiply
    940.78x = 1,297.87 × 609.24
  4. Step 4: Simplify right side
    940.78x = 790,714.32
  5. Step 5: Solve for x
    x = 790,714.32/940.78
  6. Step 6: Final answer
    x = 840.49

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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.