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Finding the Fourth Proportional to 428.34, 590.84 and 345.45

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Solution

The fourth proportional to 428.34, 590.84 and 345.45 is: 476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 590.84 = 345.45 : x
  2. Step 2: Convert to fraction form
    428.34/590.84 = 345.45/x
  3. Step 3: Cross multiply
    428.34x = 590.84 × 345.45
  4. Step 4: Simplify right side
    428.34x = 204,101.00
  5. Step 5: Solve for x
    x = 204,101.00/428.34
  6. Step 6: Final answer
    x = 476.50

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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.