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Finding the Fourth Proportional to 451.74, 625.98 and 434.73

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Solution

The fourth proportional to 451.74, 625.98 and 434.73 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 625.98 = 434.73 : x
  2. Step 2: Convert to fraction form
    451.74/625.98 = 434.73/x
  3. Step 3: Cross multiply
    451.74x = 625.98 × 434.73
  4. Step 4: Simplify right side
    451.74x = 272,132.29
  5. Step 5: Solve for x
    x = 272,132.29/451.74
  6. Step 6: Final answer
    x = 602.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.