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Finding the Fourth Proportional to 1,077.89, 1,608.50 and 961.40

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Solution

The fourth proportional to 1,077.89, 1,608.50 and 961.40 is: 1,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.89 : 1,608.50 = 961.40 : x
  2. Step 2: Convert to fraction form
    1,077.89/1,608.50 = 961.40/x
  3. Step 3: Cross multiply
    1,077.89x = 1,608.50 × 961.40
  4. Step 4: Simplify right side
    1,077.89x = 1,546,411.90
  5. Step 5: Solve for x
    x = 1,546,411.90/1,077.89
  6. Step 6: Final answer
    x = 1,434.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.