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Finding the Fourth Proportional to 428.29, 590.61 and 345.13

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Solution

The fourth proportional to 428.29, 590.61 and 345.13 is: 475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.29 : 590.61 = 345.13 : x
  2. Step 2: Convert to fraction form
    428.29/590.61 = 345.13/x
  3. Step 3: Cross multiply
    428.29x = 590.61 × 345.13
  4. Step 4: Simplify right side
    428.29x = 203,834.28
  5. Step 5: Solve for x
    x = 203,834.28/428.29
  6. Step 6: Final answer
    x = 475.93

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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.