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Finding the Fourth Proportional to 1,440.89, 2,161.99 and 710.07

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Solution

The fourth proportional to 1,440.89, 2,161.99 and 710.07 is: 1,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.89 : 2,161.99 = 710.07 : x
  2. Step 2: Convert to fraction form
    1,440.89/2,161.99 = 710.07/x
  3. Step 3: Cross multiply
    1,440.89x = 2,161.99 × 710.07
  4. Step 4: Simplify right side
    1,440.89x = 1,535,157.02
  5. Step 5: Solve for x
    x = 1,535,157.02/1,440.89
  6. Step 6: Final answer
    x = 1,065.42

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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.