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Finding the Fourth Proportional to 603.27, 832.68 and 427.10

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Solution

The fourth proportional to 603.27, 832.68 and 427.10 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.27 : 832.68 = 427.10 : x
  2. Step 2: Convert to fraction form
    603.27/832.68 = 427.10/x
  3. Step 3: Cross multiply
    603.27x = 832.68 × 427.10
  4. Step 4: Simplify right side
    603.27x = 355,633.46
  5. Step 5: Solve for x
    x = 355,633.46/603.27
  6. Step 6: Final answer
    x = 589.51

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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.