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Finding the Fourth Proportional to 1,586.43, 2,379.66 and 490.50

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Solution

The fourth proportional to 1,586.43, 2,379.66 and 490.50 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.43 : 2,379.66 = 490.50 : x
  2. Step 2: Convert to fraction form
    1,586.43/2,379.66 = 490.50/x
  3. Step 3: Cross multiply
    1,586.43x = 2,379.66 × 490.50
  4. Step 4: Simplify right side
    1,586.43x = 1,167,223.23
  5. Step 5: Solve for x
    x = 1,167,223.23/1,586.43
  6. Step 6: Final answer
    x = 735.75

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.