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Finding the Fourth Proportional to 1,410.86, 2,114.85 and 680.03

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Solution

The fourth proportional to 1,410.86, 2,114.85 and 680.03 is: 1,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.86 : 2,114.85 = 680.03 : x
  2. Step 2: Convert to fraction form
    1,410.86/2,114.85 = 680.03/x
  3. Step 3: Cross multiply
    1,410.86x = 2,114.85 × 680.03
  4. Step 4: Simplify right side
    1,410.86x = 1,438,150.87
  5. Step 5: Solve for x
    x = 1,438,150.87/1,410.86
  6. Step 6: Final answer
    x = 1,019.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.