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Finding the Fourth Proportional to 1,578.85, 2,368.23 and 641.77

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Solution

The fourth proportional to 1,578.85, 2,368.23 and 641.77 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.85 : 2,368.23 = 641.77 : x
  2. Step 2: Convert to fraction form
    1,578.85/2,368.23 = 641.77/x
  3. Step 3: Cross multiply
    1,578.85x = 2,368.23 × 641.77
  4. Step 4: Simplify right side
    1,578.85x = 1,519,858.97
  5. Step 5: Solve for x
    x = 1,519,858.97/1,578.85
  6. Step 6: Final answer
    x = 962.64

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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.