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Finding the Fourth Proportional to 1,040.94, 1,558.74 and 675.21

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Solution

The fourth proportional to 1,040.94, 1,558.74 and 675.21 is: 1,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.94 : 1,558.74 = 675.21 : x
  2. Step 2: Convert to fraction form
    1,040.94/1,558.74 = 675.21/x
  3. Step 3: Cross multiply
    1,040.94x = 1,558.74 × 675.21
  4. Step 4: Simplify right side
    1,040.94x = 1,052,476.84
  5. Step 5: Solve for x
    x = 1,052,476.84/1,040.94
  6. Step 6: Final answer
    x = 1,011.08

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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.