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Finding the Fourth Proportional to 1,586.42, 2,379.76 and 416.42

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Solution

The fourth proportional to 1,586.42, 2,379.76 and 416.42 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.42 : 2,379.76 = 416.42 : x
  2. Step 2: Convert to fraction form
    1,586.42/2,379.76 = 416.42/x
  3. Step 3: Cross multiply
    1,586.42x = 2,379.76 × 416.42
  4. Step 4: Simplify right side
    1,586.42x = 990,979.66
  5. Step 5: Solve for x
    x = 990,979.66/1,586.42
  6. Step 6: Final answer
    x = 624.66

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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.