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Finding the Fourth Proportional to 672.95, 929 and 451.82

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Solution

The fourth proportional to 672.95, 929 and 451.82 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.95 : 929 = 451.82 : x
  2. Step 2: Convert to fraction form
    672.95/929 = 451.82/x
  3. Step 3: Cross multiply
    672.95x = 929 × 451.82
  4. Step 4: Simplify right side
    672.95x = 419,740.78
  5. Step 5: Solve for x
    x = 419,740.78/672.95
  6. Step 6: Final answer
    x = 623.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.