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Finding the Fourth Proportional to 568.96, 785.48 and 419.47

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Solution

The fourth proportional to 568.96, 785.48 and 419.47 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.96 : 785.48 = 419.47 : x
  2. Step 2: Convert to fraction form
    568.96/785.48 = 419.47/x
  3. Step 3: Cross multiply
    568.96x = 785.48 × 419.47
  4. Step 4: Simplify right side
    568.96x = 329,481.23
  5. Step 5: Solve for x
    x = 329,481.23/568.96
  6. Step 6: Final answer
    x = 579.10

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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.