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Finding the Fourth Proportional to 477.83, 660.96 and 446.95

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Solution

The fourth proportional to 477.83, 660.96 and 446.95 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.83 : 660.96 = 446.95 : x
  2. Step 2: Convert to fraction form
    477.83/660.96 = 446.95/x
  3. Step 3: Cross multiply
    477.83x = 660.96 × 446.95
  4. Step 4: Simplify right side
    477.83x = 295,416.90
  5. Step 5: Solve for x
    x = 295,416.90/477.83
  6. Step 6: Final answer
    x = 618.24

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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.