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Finding the Fourth Proportional to 940.58, 1,297.81 and 591.06

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Solution

The fourth proportional to 940.58, 1,297.81 and 591.06 is: 815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,297.81 = 591.06 : x
  2. Step 2: Convert to fraction form
    940.58/1,297.81 = 591.06/x
  3. Step 3: Cross multiply
    940.58x = 1,297.81 × 591.06
  4. Step 4: Simplify right side
    940.58x = 767,083.58
  5. Step 5: Solve for x
    x = 767,083.58/940.58
  6. Step 6: Final answer
    x = 815.54

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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.