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Finding the Fourth Proportional to 847.08, 1,261.89 and 829.80

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Solution

The fourth proportional to 847.08, 1,261.89 and 829.80 is: 1,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.08 : 1,261.89 = 829.80 : x
  2. Step 2: Convert to fraction form
    847.08/1,261.89 = 829.80/x
  3. Step 3: Cross multiply
    847.08x = 1,261.89 × 829.80
  4. Step 4: Simplify right side
    847.08x = 1,047,116.32
  5. Step 5: Solve for x
    x = 1,047,116.32/847.08
  6. Step 6: Final answer
    x = 1,236.15

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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.