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Finding the Fourth Proportional to 930.47, 1,284.22 and 599.31

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Solution

The fourth proportional to 930.47, 1,284.22 and 599.31 is: 827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.47 : 1,284.22 = 599.31 : x
  2. Step 2: Convert to fraction form
    930.47/1,284.22 = 599.31/x
  3. Step 3: Cross multiply
    930.47x = 1,284.22 × 599.31
  4. Step 4: Simplify right side
    930.47x = 769,645.89
  5. Step 5: Solve for x
    x = 769,645.89/930.47
  6. Step 6: Final answer
    x = 827.16

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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.