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Finding the Fourth Proportional to 428.16, 587.01 and 420.38

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Solution

The fourth proportional to 428.16, 587.01 and 420.38 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.16 : 587.01 = 420.38 : x
  2. Step 2: Convert to fraction form
    428.16/587.01 = 420.38/x
  3. Step 3: Cross multiply
    428.16x = 587.01 × 420.38
  4. Step 4: Simplify right side
    428.16x = 246,767.26
  5. Step 5: Solve for x
    x = 246,767.26/428.16
  6. Step 6: Final answer
    x = 576.34

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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.