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Finding the Fourth Proportional to 829.74, 1,242.45 and 809.10

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Solution

The fourth proportional to 829.74, 1,242.45 and 809.10 is: 1,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,242.45 = 809.10 : x
  2. Step 2: Convert to fraction form
    829.74/1,242.45 = 809.10/x
  3. Step 3: Cross multiply
    829.74x = 1,242.45 × 809.10
  4. Step 4: Simplify right side
    829.74x = 1,005,266.30
  5. Step 5: Solve for x
    x = 1,005,266.30/829.74
  6. Step 6: Final answer
    x = 1,211.54

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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.