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Finding the Fourth Proportional to 874.85, 1,304.88 and 824.09

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Solution

The fourth proportional to 874.85, 1,304.88 and 824.09 is: 1,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.85 : 1,304.88 = 824.09 : x
  2. Step 2: Convert to fraction form
    874.85/1,304.88 = 824.09/x
  3. Step 3: Cross multiply
    874.85x = 1,304.88 × 824.09
  4. Step 4: Simplify right side
    874.85x = 1,075,328.94
  5. Step 5: Solve for x
    x = 1,075,328.94/874.85
  6. Step 6: Final answer
    x = 1,229.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.