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Finding the Fourth Proportional to 1,505.94, 2,078.19 and 842.76

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Solution

The fourth proportional to 1,505.94, 2,078.19 and 842.76 is: 1,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.94 : 2,078.19 = 842.76 : x
  2. Step 2: Convert to fraction form
    1,505.94/2,078.19 = 842.76/x
  3. Step 3: Cross multiply
    1,505.94x = 2,078.19 × 842.76
  4. Step 4: Simplify right side
    1,505.94x = 1,751,415.40
  5. Step 5: Solve for x
    x = 1,751,415.40/1,505.94
  6. Step 6: Final answer
    x = 1,163.00

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1.5x scale

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.