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Finding the Fourth Proportional to 570.23, 853.82 and 309

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Solution

The fourth proportional to 570.23, 853.82 and 309 is: 462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 853.82 = 309 : x
  2. Step 2: Convert to fraction form
    570.23/853.82 = 309/x
  3. Step 3: Cross multiply
    570.23x = 853.82 × 309
  4. Step 4: Simplify right side
    570.23x = 263,828.84
  5. Step 5: Solve for x
    x = 263,828.84/570.23
  6. Step 6: Final answer
    x = 462.67

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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.