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Finding the Fourth Proportional to 1,310.29, 1,965.05 and 385.67

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Solution

The fourth proportional to 1,310.29, 1,965.05 and 385.67 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.29 : 1,965.05 = 385.67 : x
  2. Step 2: Convert to fraction form
    1,310.29/1,965.05 = 385.67/x
  3. Step 3: Cross multiply
    1,310.29x = 1,965.05 × 385.67
  4. Step 4: Simplify right side
    1,310.29x = 757,860.83
  5. Step 5: Solve for x
    x = 757,860.83/1,310.29
  6. Step 6: Final answer
    x = 578.39

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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.