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Finding the Fourth Proportional to 1,039.81, 1,434.75 and 842.98

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Solution

The fourth proportional to 1,039.81, 1,434.75 and 842.98 is: 1,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.81 : 1,434.75 = 842.98 : x
  2. Step 2: Convert to fraction form
    1,039.81/1,434.75 = 842.98/x
  3. Step 3: Cross multiply
    1,039.81x = 1,434.75 × 842.98
  4. Step 4: Simplify right side
    1,039.81x = 1,209,465.56
  5. Step 5: Solve for x
    x = 1,209,465.56/1,039.81
  6. Step 6: Final answer
    x = 1,163.16

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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.