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Finding the Fourth Proportional to 1,618.41, 2,425.58 and 878.01

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Solution

The fourth proportional to 1,618.41, 2,425.58 and 878.01 is: 1,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.41 : 2,425.58 = 878.01 : x
  2. Step 2: Convert to fraction form
    1,618.41/2,425.58 = 878.01/x
  3. Step 3: Cross multiply
    1,618.41x = 2,425.58 × 878.01
  4. Step 4: Simplify right side
    1,618.41x = 2,129,673.30
  5. Step 5: Solve for x
    x = 2,129,673.30/1,618.41
  6. Step 6: Final answer
    x = 1,315.90

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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.