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Finding the Fourth Proportional to 1,570.33, 2,350.89 and 828.19

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Solution

The fourth proportional to 1,570.33, 2,350.89 and 828.19 is: 1,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.33 : 2,350.89 = 828.19 : x
  2. Step 2: Convert to fraction form
    1,570.33/2,350.89 = 828.19/x
  3. Step 3: Cross multiply
    1,570.33x = 2,350.89 × 828.19
  4. Step 4: Simplify right side
    1,570.33x = 1,946,967.69
  5. Step 5: Solve for x
    x = 1,946,967.69/1,570.33
  6. Step 6: Final answer
    x = 1,239.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.