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Finding the Fourth Proportional to 1,471.44, 2,203.20 and 776.67

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Solution

The fourth proportional to 1,471.44, 2,203.20 and 776.67 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.44 : 2,203.20 = 776.67 : x
  2. Step 2: Convert to fraction form
    1,471.44/2,203.20 = 776.67/x
  3. Step 3: Cross multiply
    1,471.44x = 2,203.20 × 776.67
  4. Step 4: Simplify right side
    1,471.44x = 1,711,159.34
  5. Step 5: Solve for x
    x = 1,711,159.34/1,471.44
  6. Step 6: Final answer
    x = 1,162.91

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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.