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Finding the Fourth Proportional to 931.64, 1,285.07 and 599.94

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Solution

The fourth proportional to 931.64, 1,285.07 and 599.94 is: 827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.64 : 1,285.07 = 599.94 : x
  2. Step 2: Convert to fraction form
    931.64/1,285.07 = 599.94/x
  3. Step 3: Cross multiply
    931.64x = 1,285.07 × 599.94
  4. Step 4: Simplify right side
    931.64x = 770,961.90
  5. Step 5: Solve for x
    x = 770,961.90/931.64
  6. Step 6: Final answer
    x = 827.54

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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.