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Finding the Fourth Proportional to 419.64, 625.69 and 403.60

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Solution

The fourth proportional to 419.64, 625.69 and 403.60 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 625.69 = 403.60 : x
  2. Step 2: Convert to fraction form
    419.64/625.69 = 403.60/x
  3. Step 3: Cross multiply
    419.64x = 625.69 × 403.60
  4. Step 4: Simplify right side
    419.64x = 252,528.48
  5. Step 5: Solve for x
    x = 252,528.48/419.64
  6. Step 6: Final answer
    x = 601.77

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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.