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Finding the Fourth Proportional to 956.21, 1,319.89 and 583.06

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Solution

The fourth proportional to 956.21, 1,319.89 and 583.06 is: 804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.21 : 1,319.89 = 583.06 : x
  2. Step 2: Convert to fraction form
    956.21/1,319.89 = 583.06/x
  3. Step 3: Cross multiply
    956.21x = 1,319.89 × 583.06
  4. Step 4: Simplify right side
    956.21x = 769,571.14
  5. Step 5: Solve for x
    x = 769,571.14/956.21
  6. Step 6: Final answer
    x = 804.81

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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.