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Finding the Fourth Proportional to 1,624.74, 2,242.13 and 878.69

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Solution

The fourth proportional to 1,624.74, 2,242.13 and 878.69 is: 1,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.74 : 2,242.13 = 878.69 : x
  2. Step 2: Convert to fraction form
    1,624.74/2,242.13 = 878.69/x
  3. Step 3: Cross multiply
    1,624.74x = 2,242.13 × 878.69
  4. Step 4: Simplify right side
    1,624.74x = 1,970,145.01
  5. Step 5: Solve for x
    x = 1,970,145.01/1,624.74
  6. Step 6: Final answer
    x = 1,212.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.