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Finding the Fourth Proportional to 1,239.21, 1,857.81 and 848.23

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Solution

The fourth proportional to 1,239.21, 1,857.81 and 848.23 is: 1,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.21 : 1,857.81 = 848.23 : x
  2. Step 2: Convert to fraction form
    1,239.21/1,857.81 = 848.23/x
  3. Step 3: Cross multiply
    1,239.21x = 1,857.81 × 848.23
  4. Step 4: Simplify right side
    1,239.21x = 1,575,851.55
  5. Step 5: Solve for x
    x = 1,575,851.55/1,239.21
  6. Step 6: Final answer
    x = 1,271.66

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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.