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Finding the Fourth Proportional to 984.77, 1,349.12 and 947.84

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Solution

The fourth proportional to 984.77, 1,349.12 and 947.84 is: 1,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.77 : 1,349.12 = 947.84 : x
  2. Step 2: Convert to fraction form
    984.77/1,349.12 = 947.84/x
  3. Step 3: Cross multiply
    984.77x = 1,349.12 × 947.84
  4. Step 4: Simplify right side
    984.77x = 1,278,745.52
  5. Step 5: Solve for x
    x = 1,278,745.52/984.77
  6. Step 6: Final answer
    x = 1,298.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.