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Finding the Fourth Proportional to 1,459.06, 2,187.45 and 911.50

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Solution

The fourth proportional to 1,459.06, 2,187.45 and 911.50 is: 1,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.06 : 2,187.45 = 911.50 : x
  2. Step 2: Convert to fraction form
    1,459.06/2,187.45 = 911.50/x
  3. Step 3: Cross multiply
    1,459.06x = 2,187.45 × 911.50
  4. Step 4: Simplify right side
    1,459.06x = 1,993,860.68
  5. Step 5: Solve for x
    x = 1,993,860.68/1,459.06
  6. Step 6: Final answer
    x = 1,366.54

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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.