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Finding the Fourth Proportional to 568.73, 785.23 and 438.05

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Solution

The fourth proportional to 568.73, 785.23 and 438.05 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.73 : 785.23 = 438.05 : x
  2. Step 2: Convert to fraction form
    568.73/785.23 = 438.05/x
  3. Step 3: Cross multiply
    568.73x = 785.23 × 438.05
  4. Step 4: Simplify right side
    568.73x = 343,966.08
  5. Step 5: Solve for x
    x = 343,966.08/568.73
  6. Step 6: Final answer
    x = 604.80

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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.