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Finding the Fourth Proportional to 931.86, 1,284.93 and 599.83

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Solution

The fourth proportional to 931.86, 1,284.93 and 599.83 is: 827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.86 : 1,284.93 = 599.83 : x
  2. Step 2: Convert to fraction form
    931.86/1,284.93 = 599.83/x
  3. Step 3: Cross multiply
    931.86x = 1,284.93 × 599.83
  4. Step 4: Simplify right side
    931.86x = 770,736.35
  5. Step 5: Solve for x
    x = 770,736.35/931.86
  6. Step 6: Final answer
    x = 827.09

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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.