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Finding the Fourth Proportional to 1,421.80, 2,133.23 and 641.57

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Solution

The fourth proportional to 1,421.80, 2,133.23 and 641.57 is: 962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.80 : 2,133.23 = 641.57 : x
  2. Step 2: Convert to fraction form
    1,421.80/2,133.23 = 641.57/x
  3. Step 3: Cross multiply
    1,421.80x = 2,133.23 × 641.57
  4. Step 4: Simplify right side
    1,421.80x = 1,368,616.37
  5. Step 5: Solve for x
    x = 1,368,616.37/1,421.80
  6. Step 6: Final answer
    x = 962.59

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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.