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Finding the Fourth Proportional to 509.12, 763.71 and 448.67

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Solution

The fourth proportional to 509.12, 763.71 and 448.67 is: 673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 763.71 = 448.67 : x
  2. Step 2: Convert to fraction form
    509.12/763.71 = 448.67/x
  3. Step 3: Cross multiply
    509.12x = 763.71 × 448.67
  4. Step 4: Simplify right side
    509.12x = 342,653.77
  5. Step 5: Solve for x
    x = 342,653.77/509.12
  6. Step 6: Final answer
    x = 673.03

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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.