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Finding the Fourth Proportional to 1,409.92, 1,944.50 and 1,056.67

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Solution

The fourth proportional to 1,409.92, 1,944.50 and 1,056.67 is: 1,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.92 : 1,944.50 = 1,056.67 : x
  2. Step 2: Convert to fraction form
    1,409.92/1,944.50 = 1,056.67/x
  3. Step 3: Cross multiply
    1,409.92x = 1,944.50 × 1,056.67
  4. Step 4: Simplify right side
    1,409.92x = 2,054,684.67
  5. Step 5: Solve for x
    x = 2,054,684.67/1,409.92
  6. Step 6: Final answer
    x = 1,457.31

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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.