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Finding the Fourth Proportional to 465.42, 643.92 and 407.37

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Solution

The fourth proportional to 465.42, 643.92 and 407.37 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 643.92 = 407.37 : x
  2. Step 2: Convert to fraction form
    465.42/643.92 = 407.37/x
  3. Step 3: Cross multiply
    465.42x = 643.92 × 407.37
  4. Step 4: Simplify right side
    465.42x = 262,313.69
  5. Step 5: Solve for x
    x = 262,313.69/465.42
  6. Step 6: Final answer
    x = 563.61

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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.