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Finding the Fourth Proportional to 568.09, 852.31 and 470.15

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Solution

The fourth proportional to 568.09, 852.31 and 470.15 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.09 : 852.31 = 470.15 : x
  2. Step 2: Convert to fraction form
    568.09/852.31 = 470.15/x
  3. Step 3: Cross multiply
    568.09x = 852.31 × 470.15
  4. Step 4: Simplify right side
    568.09x = 400,713.55
  5. Step 5: Solve for x
    x = 400,713.55/568.09
  6. Step 6: Final answer
    x = 705.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.