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Finding the Fourth Proportional to 849.65, 1,272.51 and 820.49

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Solution

The fourth proportional to 849.65, 1,272.51 and 820.49 is: 1,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.65 : 1,272.51 = 820.49 : x
  2. Step 2: Convert to fraction form
    849.65/1,272.51 = 820.49/x
  3. Step 3: Cross multiply
    849.65x = 1,272.51 × 820.49
  4. Step 4: Simplify right side
    849.65x = 1,044,075.37
  5. Step 5: Solve for x
    x = 1,044,075.37/849.65
  6. Step 6: Final answer
    x = 1,228.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.