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Finding the Fourth Proportional to 603.16, 832.42 and 407.08

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Solution

The fourth proportional to 603.16, 832.42 and 407.08 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 832.42 = 407.08 : x
  2. Step 2: Convert to fraction form
    603.16/832.42 = 407.08/x
  3. Step 3: Cross multiply
    603.16x = 832.42 × 407.08
  4. Step 4: Simplify right side
    603.16x = 338,861.53
  5. Step 5: Solve for x
    x = 338,861.53/603.16
  6. Step 6: Final answer
    x = 561.81

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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.