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Finding the Fourth Proportional to 1,057.48, 1,586.67 and 408.67

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Solution

The fourth proportional to 1,057.48, 1,586.67 and 408.67 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.48 : 1,586.67 = 408.67 : x
  2. Step 2: Convert to fraction form
    1,057.48/1,586.67 = 408.67/x
  3. Step 3: Cross multiply
    1,057.48x = 1,586.67 × 408.67
  4. Step 4: Simplify right side
    1,057.48x = 648,424.43
  5. Step 5: Solve for x
    x = 648,424.43/1,057.48
  6. Step 6: Final answer
    x = 613.18

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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.