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Finding the Fourth Proportional to 1,046.90, 1,567.65 and 829.10

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Solution

The fourth proportional to 1,046.90, 1,567.65 and 829.10 is: 1,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.90 : 1,567.65 = 829.10 : x
  2. Step 2: Convert to fraction form
    1,046.90/1,567.65 = 829.10/x
  3. Step 3: Cross multiply
    1,046.90x = 1,567.65 × 829.10
  4. Step 4: Simplify right side
    1,046.90x = 1,299,738.62
  5. Step 5: Solve for x
    x = 1,299,738.62/1,046.90
  6. Step 6: Final answer
    x = 1,241.51

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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.