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Finding the Fourth Proportional to 603.14, 832.57 and 407.23

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Solution

The fourth proportional to 603.14, 832.57 and 407.23 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 832.57 = 407.23 : x
  2. Step 2: Convert to fraction form
    603.14/832.57 = 407.23/x
  3. Step 3: Cross multiply
    603.14x = 832.57 × 407.23
  4. Step 4: Simplify right side
    603.14x = 339,044.38
  5. Step 5: Solve for x
    x = 339,044.38/603.14
  6. Step 6: Final answer
    x = 562.14

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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.