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Finding the Fourth Proportional to 568.22, 780.74 and 451.58

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Solution

The fourth proportional to 568.22, 780.74 and 451.58 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.22 : 780.74 = 451.58 : x
  2. Step 2: Convert to fraction form
    568.22/780.74 = 451.58/x
  3. Step 3: Cross multiply
    568.22x = 780.74 × 451.58
  4. Step 4: Simplify right side
    568.22x = 352,562.10
  5. Step 5: Solve for x
    x = 352,562.10/568.22
  6. Step 6: Final answer
    x = 620.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.