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Finding the Fourth Proportional to 1,585.50, 2,378.34 and 490.62

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Solution

The fourth proportional to 1,585.50, 2,378.34 and 490.62 is: 735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.50 : 2,378.34 = 490.62 : x
  2. Step 2: Convert to fraction form
    1,585.50/2,378.34 = 490.62/x
  3. Step 3: Cross multiply
    1,585.50x = 2,378.34 × 490.62
  4. Step 4: Simplify right side
    1,585.50x = 1,166,861.17
  5. Step 5: Solve for x
    x = 1,166,861.17/1,585.50
  6. Step 6: Final answer
    x = 735.96

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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.