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Finding the Fourth Proportional to 568.44, 783.54 and 428.40

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Solution

The fourth proportional to 568.44, 783.54 and 428.40 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.44 : 783.54 = 428.40 : x
  2. Step 2: Convert to fraction form
    568.44/783.54 = 428.40/x
  3. Step 3: Cross multiply
    568.44x = 783.54 × 428.40
  4. Step 4: Simplify right side
    568.44x = 335,668.54
  5. Step 5: Solve for x
    x = 335,668.54/568.44
  6. Step 6: Final answer
    x = 590.51

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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.