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Finding the Fourth Proportional to 603.42, 832.46 and 416.62

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Solution

The fourth proportional to 603.42, 832.46 and 416.62 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.42 : 832.46 = 416.62 : x
  2. Step 2: Convert to fraction form
    603.42/832.46 = 416.62/x
  3. Step 3: Cross multiply
    603.42x = 832.46 × 416.62
  4. Step 4: Simplify right side
    603.42x = 346,819.49
  5. Step 5: Solve for x
    x = 346,819.49/603.42
  6. Step 6: Final answer
    x = 574.76

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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.