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Finding the Fourth Proportional to 603.34, 832.08 and 416.86

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Solution

The fourth proportional to 603.34, 832.08 and 416.86 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.34 : 832.08 = 416.86 : x
  2. Step 2: Convert to fraction form
    603.34/832.08 = 416.86/x
  3. Step 3: Cross multiply
    603.34x = 832.08 × 416.86
  4. Step 4: Simplify right side
    603.34x = 346,860.87
  5. Step 5: Solve for x
    x = 346,860.87/603.34
  6. Step 6: Final answer
    x = 574.90

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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.