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Finding the Fourth Proportional to 454.58, 685.20 and 415.63

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Solution

The fourth proportional to 454.58, 685.20 and 415.63 is: 626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.58 : 685.20 = 415.63 : x
  2. Step 2: Convert to fraction form
    454.58/685.20 = 415.63/x
  3. Step 3: Cross multiply
    454.58x = 685.20 × 415.63
  4. Step 4: Simplify right side
    454.58x = 284,784.17
  5. Step 5: Solve for x
    x = 284,784.17/454.58
  6. Step 6: Final answer
    x = 626.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.