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Finding the Fourth Proportional to 873.41, 1,203.86 and 749.21

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Solution

The fourth proportional to 873.41, 1,203.86 and 749.21 is: 1,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.41 : 1,203.86 = 749.21 : x
  2. Step 2: Convert to fraction form
    873.41/1,203.86 = 749.21/x
  3. Step 3: Cross multiply
    873.41x = 1,203.86 × 749.21
  4. Step 4: Simplify right side
    873.41x = 901,940.20
  5. Step 5: Solve for x
    x = 901,940.20/873.41
  6. Step 6: Final answer
    x = 1,032.67

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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.