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Finding the Fourth Proportional to 1,237.63, 1,709.25 and 841.06

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Solution

The fourth proportional to 1,237.63, 1,709.25 and 841.06 is: 1,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.63 : 1,709.25 = 841.06 : x
  2. Step 2: Convert to fraction form
    1,237.63/1,709.25 = 841.06/x
  3. Step 3: Cross multiply
    1,237.63x = 1,709.25 × 841.06
  4. Step 4: Simplify right side
    1,237.63x = 1,437,577.60
  5. Step 5: Solve for x
    x = 1,437,577.60/1,237.63
  6. Step 6: Final answer
    x = 1,161.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.