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Finding the Fourth Proportional to 428.69, 590.93 and 317.99

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Solution

The fourth proportional to 428.69, 590.93 and 317.99 is: 438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 590.93 = 317.99 : x
  2. Step 2: Convert to fraction form
    428.69/590.93 = 317.99/x
  3. Step 3: Cross multiply
    428.69x = 590.93 × 317.99
  4. Step 4: Simplify right side
    428.69x = 187,910.91
  5. Step 5: Solve for x
    x = 187,910.91/428.69
  6. Step 6: Final answer
    x = 438.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.