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Finding the Fourth Proportional to 603.67, 832.80 and 407.11

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Solution

The fourth proportional to 603.67, 832.80 and 407.11 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.67 : 832.80 = 407.11 : x
  2. Step 2: Convert to fraction form
    603.67/832.80 = 407.11/x
  3. Step 3: Cross multiply
    603.67x = 832.80 × 407.11
  4. Step 4: Simplify right side
    603.67x = 339,041.21
  5. Step 5: Solve for x
    x = 339,041.21/603.67
  6. Step 6: Final answer
    x = 561.63

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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.