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Finding the Fourth Proportional to 1,057.62, 1,586.43 and 624.54

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Solution

The fourth proportional to 1,057.62, 1,586.43 and 624.54 is: 936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.62 : 1,586.43 = 624.54 : x
  2. Step 2: Convert to fraction form
    1,057.62/1,586.43 = 624.54/x
  3. Step 3: Cross multiply
    1,057.62x = 1,586.43 × 624.54
  4. Step 4: Simplify right side
    1,057.62x = 990,788.99
  5. Step 5: Solve for x
    x = 990,788.99/1,057.62
  6. Step 6: Final answer
    x = 936.81

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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.