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Finding the Fourth Proportional to 477, 657.81 and 439.77

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Solution

The fourth proportional to 477, 657.81 and 439.77 is: 606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 657.81 = 439.77 : x
  2. Step 2: Convert to fraction form
    477/657.81 = 439.77/x
  3. Step 3: Cross multiply
    477x = 657.81 × 439.77
  4. Step 4: Simplify right side
    477x = 289,285.10
  5. Step 5: Solve for x
    x = 289,285.10/477
  6. Step 6: Final answer
    x = 606.47

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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.