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Finding the Fourth Proportional to 1,485.96, 2,219.90 and 961.69

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Solution

The fourth proportional to 1,485.96, 2,219.90 and 961.69 is: 1,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.96 : 2,219.90 = 961.69 : x
  2. Step 2: Convert to fraction form
    1,485.96/2,219.90 = 961.69/x
  3. Step 3: Cross multiply
    1,485.96x = 2,219.90 × 961.69
  4. Step 4: Simplify right side
    1,485.96x = 2,134,844.53
  5. Step 5: Solve for x
    x = 2,134,844.53/1,485.96
  6. Step 6: Final answer
    x = 1,436.68

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Why These Related Problems?

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