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Finding the Fourth Proportional to 428.16, 594.86 and 423.04

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Solution

The fourth proportional to 428.16, 594.86 and 423.04 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.16 : 594.86 = 423.04 : x
  2. Step 2: Convert to fraction form
    428.16/594.86 = 423.04/x
  3. Step 3: Cross multiply
    428.16x = 594.86 × 423.04
  4. Step 4: Simplify right side
    428.16x = 251,649.57
  5. Step 5: Solve for x
    x = 251,649.57/428.16
  6. Step 6: Final answer
    x = 587.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.