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Finding the Fourth Proportional to 1,420.56, 1,958.76 and 1,157.76

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Solution

The fourth proportional to 1,420.56, 1,958.76 and 1,157.76 is: 1,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 1,958.76 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    1,420.56/1,958.76 = 1,157.76/x
  3. Step 3: Cross multiply
    1,420.56x = 1,958.76 × 1,157.76
  4. Step 4: Simplify right side
    1,420.56x = 2,267,773.98
  5. Step 5: Solve for x
    x = 2,267,773.98/1,420.56
  6. Step 6: Final answer
    x = 1,596.39

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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.