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Finding the Fourth Proportional to 1,119.81, 1,678.09 and 631.82

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Solution

The fourth proportional to 1,119.81, 1,678.09 and 631.82 is: 946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.81 : 1,678.09 = 631.82 : x
  2. Step 2: Convert to fraction form
    1,119.81/1,678.09 = 631.82/x
  3. Step 3: Cross multiply
    1,119.81x = 1,678.09 × 631.82
  4. Step 4: Simplify right side
    1,119.81x = 1,060,247.66
  5. Step 5: Solve for x
    x = 1,060,247.66/1,119.81
  6. Step 6: Final answer
    x = 946.81

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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.