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Finding the Fourth Proportional to 1,619.65, 2,430.69 and 889.84

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Solution

The fourth proportional to 1,619.65, 2,430.69 and 889.84 is: 1,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.65 : 2,430.69 = 889.84 : x
  2. Step 2: Convert to fraction form
    1,619.65/2,430.69 = 889.84/x
  3. Step 3: Cross multiply
    1,619.65x = 2,430.69 × 889.84
  4. Step 4: Simplify right side
    1,619.65x = 2,162,925.19
  5. Step 5: Solve for x
    x = 2,162,925.19/1,619.65
  6. Step 6: Final answer
    x = 1,335.43

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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.