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Finding the Fourth Proportional to 429.60, 592.64 and 287.64

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Solution

The fourth proportional to 429.60, 592.64 and 287.64 is: 396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 592.64 = 287.64 : x
  2. Step 2: Convert to fraction form
    429.60/592.64 = 287.64/x
  3. Step 3: Cross multiply
    429.60x = 592.64 × 287.64
  4. Step 4: Simplify right side
    429.60x = 170,466.97
  5. Step 5: Solve for x
    x = 170,466.97/429.60
  6. Step 6: Final answer
    x = 396.80

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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.