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Finding the Fourth Proportional to 1,369.81, 1,889.66 and 898.49

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Solution

The fourth proportional to 1,369.81, 1,889.66 and 898.49 is: 1,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.81 : 1,889.66 = 898.49 : x
  2. Step 2: Convert to fraction form
    1,369.81/1,889.66 = 898.49/x
  3. Step 3: Cross multiply
    1,369.81x = 1,889.66 × 898.49
  4. Step 4: Simplify right side
    1,369.81x = 1,697,847.58
  5. Step 5: Solve for x
    x = 1,697,847.58/1,369.81
  6. Step 6: Final answer
    x = 1,239.48

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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.