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Finding the Fourth Proportional to 931.30, 1,284.48 and 599.80

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Solution

The fourth proportional to 931.30, 1,284.48 and 599.80 is: 827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.30 : 1,284.48 = 599.80 : x
  2. Step 2: Convert to fraction form
    931.30/1,284.48 = 599.80/x
  3. Step 3: Cross multiply
    931.30x = 1,284.48 × 599.80
  4. Step 4: Simplify right side
    931.30x = 770,431.10
  5. Step 5: Solve for x
    x = 770,431.10/931.30
  6. Step 6: Final answer
    x = 827.26

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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.