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Finding the Fourth Proportional to 469.12, 642.88 and 423.04

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Solution

The fourth proportional to 469.12, 642.88 and 423.04 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 642.88 = 423.04 : x
  2. Step 2: Convert to fraction form
    469.12/642.88 = 423.04/x
  3. Step 3: Cross multiply
    469.12x = 642.88 × 423.04
  4. Step 4: Simplify right side
    469.12x = 271,963.96
  5. Step 5: Solve for x
    x = 271,963.96/469.12
  6. Step 6: Final answer
    x = 579.73

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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.