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Finding the Fourth Proportional to 477.29, 712.43 and 442.56

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Solution

The fourth proportional to 477.29, 712.43 and 442.56 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 712.43 = 442.56 : x
  2. Step 2: Convert to fraction form
    477.29/712.43 = 442.56/x
  3. Step 3: Cross multiply
    477.29x = 712.43 × 442.56
  4. Step 4: Simplify right side
    477.29x = 315,295.14
  5. Step 5: Solve for x
    x = 315,295.14/477.29
  6. Step 6: Final answer
    x = 660.59

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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.