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Finding the Fourth Proportional to 1,586.13, 2,379.26 and 431.88

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Solution

The fourth proportional to 1,586.13, 2,379.26 and 431.88 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.13 : 2,379.26 = 431.88 : x
  2. Step 2: Convert to fraction form
    1,586.13/2,379.26 = 431.88/x
  3. Step 3: Cross multiply
    1,586.13x = 2,379.26 × 431.88
  4. Step 4: Simplify right side
    1,586.13x = 1,027,554.81
  5. Step 5: Solve for x
    x = 1,027,554.81/1,586.13
  6. Step 6: Final answer
    x = 647.84

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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.