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Finding the Fourth Proportional to 1,115.81, 1,670.60 and 841.07

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Solution

The fourth proportional to 1,115.81, 1,670.60 and 841.07 is: 1,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.81 : 1,670.60 = 841.07 : x
  2. Step 2: Convert to fraction form
    1,115.81/1,670.60 = 841.07/x
  3. Step 3: Cross multiply
    1,115.81x = 1,670.60 × 841.07
  4. Step 4: Simplify right side
    1,115.81x = 1,405,078.98
  5. Step 5: Solve for x
    x = 1,405,078.98/1,115.81
  6. Step 6: Final answer
    x = 1,259.25

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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.