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Finding the Fourth Proportional to 570.71, 853.62 and 350.79

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Solution

The fourth proportional to 570.71, 853.62 and 350.79 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.71 : 853.62 = 350.79 : x
  2. Step 2: Convert to fraction form
    570.71/853.62 = 350.79/x
  3. Step 3: Cross multiply
    570.71x = 853.62 × 350.79
  4. Step 4: Simplify right side
    570.71x = 299,441.36
  5. Step 5: Solve for x
    x = 299,441.36/570.71
  6. Step 6: Final answer
    x = 524.69

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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.