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Finding the Fourth Proportional to 465.77, 643.07 and 288.92

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Solution

The fourth proportional to 465.77, 643.07 and 288.92 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 643.07 = 288.92 : x
  2. Step 2: Convert to fraction form
    465.77/643.07 = 288.92/x
  3. Step 3: Cross multiply
    465.77x = 643.07 × 288.92
  4. Step 4: Simplify right side
    465.77x = 185,797.03
  5. Step 5: Solve for x
    x = 185,797.03/465.77
  6. Step 6: Final answer
    x = 398.90

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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.