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Finding the Fourth Proportional to 1,861.62, 2,792.41 and 707.37

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Solution

The fourth proportional to 1,861.62, 2,792.41 and 707.37 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.62 : 2,792.41 = 707.37 : x
  2. Step 2: Convert to fraction form
    1,861.62/2,792.41 = 707.37/x
  3. Step 3: Cross multiply
    1,861.62x = 2,792.41 × 707.37
  4. Step 4: Simplify right side
    1,861.62x = 1,975,267.06
  5. Step 5: Solve for x
    x = 1,975,267.06/1,861.62
  6. Step 6: Final answer
    x = 1,061.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.