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Finding the Fourth Proportional to 453.41, 679.77 and 288.84

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Solution

The fourth proportional to 453.41, 679.77 and 288.84 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.41 : 679.77 = 288.84 : x
  2. Step 2: Convert to fraction form
    453.41/679.77 = 288.84/x
  3. Step 3: Cross multiply
    453.41x = 679.77 × 288.84
  4. Step 4: Simplify right side
    453.41x = 196,344.77
  5. Step 5: Solve for x
    x = 196,344.77/453.41
  6. Step 6: Final answer
    x = 433.04

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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.