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Finding the Fourth Proportional to 453.77, 679.90 and 415.94

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Solution

The fourth proportional to 453.77, 679.90 and 415.94 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.77 : 679.90 = 415.94 : x
  2. Step 2: Convert to fraction form
    453.77/679.90 = 415.94/x
  3. Step 3: Cross multiply
    453.77x = 679.90 × 415.94
  4. Step 4: Simplify right side
    453.77x = 282,797.61
  5. Step 5: Solve for x
    x = 282,797.61/453.77
  6. Step 6: Final answer
    x = 623.22

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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.