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Finding the Fourth Proportional to 428.12, 587.34 and 407.46

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Solution

The fourth proportional to 428.12, 587.34 and 407.46 is: 559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 587.34 = 407.46 : x
  2. Step 2: Convert to fraction form
    428.12/587.34 = 407.46/x
  3. Step 3: Cross multiply
    428.12x = 587.34 × 407.46
  4. Step 4: Simplify right side
    428.12x = 239,317.56
  5. Step 5: Solve for x
    x = 239,317.56/428.12
  6. Step 6: Final answer
    x = 559.00

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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.