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Finding the Fourth Proportional to 874.02, 1,309.33 and 829.74

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Solution

The fourth proportional to 874.02, 1,309.33 and 829.74 is: 1,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,309.33 = 829.74 : x
  2. Step 2: Convert to fraction form
    874.02/1,309.33 = 829.74/x
  3. Step 3: Cross multiply
    874.02x = 1,309.33 × 829.74
  4. Step 4: Simplify right side
    874.02x = 1,086,403.47
  5. Step 5: Solve for x
    x = 1,086,403.47/874.02
  6. Step 6: Final answer
    x = 1,243.00

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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.