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Finding the Fourth Proportional to 829.90, 1,261.07 and 829.90

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Solution

The fourth proportional to 829.90, 1,261.07 and 829.90 is: 1,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,261.07 = 829.90 : x
  2. Step 2: Convert to fraction form
    829.90/1,261.07 = 829.90/x
  3. Step 3: Cross multiply
    829.90x = 1,261.07 × 829.90
  4. Step 4: Simplify right side
    829.90x = 1,046,561.99
  5. Step 5: Solve for x
    x = 1,046,561.99/829.90
  6. Step 6: Final answer
    x = 1,261.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.