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Finding the Fourth Proportional to 893.29, 1,230.21 and 874.21

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Solution

The fourth proportional to 893.29, 1,230.21 and 874.21 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.29 : 1,230.21 = 874.21 : x
  2. Step 2: Convert to fraction form
    893.29/1,230.21 = 874.21/x
  3. Step 3: Cross multiply
    893.29x = 1,230.21 × 874.21
  4. Step 4: Simplify right side
    893.29x = 1,075,461.88
  5. Step 5: Solve for x
    x = 1,075,461.88/893.29
  6. Step 6: Final answer
    x = 1,203.93

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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.