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Finding the Fourth Proportional to 1,570.36, 2,353.03 and 829.94

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Solution

The fourth proportional to 1,570.36, 2,353.03 and 829.94 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.36 : 2,353.03 = 829.94 : x
  2. Step 2: Convert to fraction form
    1,570.36/2,353.03 = 829.94/x
  3. Step 3: Cross multiply
    1,570.36x = 2,353.03 × 829.94
  4. Step 4: Simplify right side
    1,570.36x = 1,952,873.72
  5. Step 5: Solve for x
    x = 1,952,873.72/1,570.36
  6. Step 6: Final answer
    x = 1,243.58

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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.