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Finding the Fourth Proportional to 984.11, 1,357.58 and 913.76

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Solution

The fourth proportional to 984.11, 1,357.58 and 913.76 is: 1,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.11 : 1,357.58 = 913.76 : x
  2. Step 2: Convert to fraction form
    984.11/1,357.58 = 913.76/x
  3. Step 3: Cross multiply
    984.11x = 1,357.58 × 913.76
  4. Step 4: Simplify right side
    984.11x = 1,240,507.98
  5. Step 5: Solve for x
    x = 1,240,507.98/984.11
  6. Step 6: Final answer
    x = 1,260.54

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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.