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Finding the Fourth Proportional to 940.43, 1,297.64 and 590.87

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Solution

The fourth proportional to 940.43, 1,297.64 and 590.87 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.43 : 1,297.64 = 590.87 : x
  2. Step 2: Convert to fraction form
    940.43/1,297.64 = 590.87/x
  3. Step 3: Cross multiply
    940.43x = 1,297.64 × 590.87
  4. Step 4: Simplify right side
    940.43x = 766,736.55
  5. Step 5: Solve for x
    x = 766,736.55/940.43
  6. Step 6: Final answer
    x = 815.30

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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.