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Finding the Fourth Proportional to 1,399.44, 2,098.70 and 474.76

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Solution

The fourth proportional to 1,399.44, 2,098.70 and 474.76 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.44 : 2,098.70 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,399.44/2,098.70 = 474.76/x
  3. Step 3: Cross multiply
    1,399.44x = 2,098.70 × 474.76
  4. Step 4: Simplify right side
    1,399.44x = 996,378.81
  5. Step 5: Solve for x
    x = 996,378.81/1,399.44
  6. Step 6: Final answer
    x = 711.98

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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.