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Finding the Fourth Proportional to 477.76, 712.28 and 465.79

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Solution

The fourth proportional to 477.76, 712.28 and 465.79 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 712.28 = 465.79 : x
  2. Step 2: Convert to fraction form
    477.76/712.28 = 465.79/x
  3. Step 3: Cross multiply
    477.76x = 712.28 × 465.79
  4. Step 4: Simplify right side
    477.76x = 331,772.90
  5. Step 5: Solve for x
    x = 331,772.90/477.76
  6. Step 6: Final answer
    x = 694.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.