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Finding the Fourth Proportional to 427.67, 586.33 and 419.88

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Solution

The fourth proportional to 427.67, 586.33 and 419.88 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.67 : 586.33 = 419.88 : x
  2. Step 2: Convert to fraction form
    427.67/586.33 = 419.88/x
  3. Step 3: Cross multiply
    427.67x = 586.33 × 419.88
  4. Step 4: Simplify right side
    427.67x = 246,186.14
  5. Step 5: Solve for x
    x = 246,186.14/427.67
  6. Step 6: Final answer
    x = 575.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.