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Finding the Fourth Proportional to 477.75, 712.28 and 465.75

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Solution

The fourth proportional to 477.75, 712.28 and 465.75 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 712.28 = 465.75 : x
  2. Step 2: Convert to fraction form
    477.75/712.28 = 465.75/x
  3. Step 3: Cross multiply
    477.75x = 712.28 × 465.75
  4. Step 4: Simplify right side
    477.75x = 331,744.41
  5. Step 5: Solve for x
    x = 331,744.41/477.75
  6. Step 6: Final answer
    x = 694.39

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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.