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Finding the Fourth Proportional to 568.35, 784.31 and 421.25

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Solution

The fourth proportional to 568.35, 784.31 and 421.25 is: 581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.35 : 784.31 = 421.25 : x
  2. Step 2: Convert to fraction form
    568.35/784.31 = 421.25/x
  3. Step 3: Cross multiply
    568.35x = 784.31 × 421.25
  4. Step 4: Simplify right side
    568.35x = 330,384.56
  5. Step 5: Solve for x
    x = 330,384.56/568.35
  6. Step 6: Final answer
    x = 581.30

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