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Finding the Fourth Proportional to 429.12, 640.44 and 417.60

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Solution

The fourth proportional to 429.12, 640.44 and 417.60 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 640.44 = 417.60 : x
  2. Step 2: Convert to fraction form
    429.12/640.44 = 417.60/x
  3. Step 3: Cross multiply
    429.12x = 640.44 × 417.60
  4. Step 4: Simplify right side
    429.12x = 267,447.74
  5. Step 5: Solve for x
    x = 267,447.74/429.12
  6. Step 6: Final answer
    x = 623.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.