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Finding the Fourth Proportional to 873.25, 1,204.88 and 594.41

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Solution

The fourth proportional to 873.25, 1,204.88 and 594.41 is: 820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.25 : 1,204.88 = 594.41 : x
  2. Step 2: Convert to fraction form
    873.25/1,204.88 = 594.41/x
  3. Step 3: Cross multiply
    873.25x = 1,204.88 × 594.41
  4. Step 4: Simplify right side
    873.25x = 716,183.72
  5. Step 5: Solve for x
    x = 716,183.72/873.25
  6. Step 6: Final answer
    x = 820.14

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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.