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Finding the Fourth Proportional to 477.04, 655.79 and 410.41

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Solution

The fourth proportional to 477.04, 655.79 and 410.41 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 655.79 = 410.41 : x
  2. Step 2: Convert to fraction form
    477.04/655.79 = 410.41/x
  3. Step 3: Cross multiply
    477.04x = 655.79 × 410.41
  4. Step 4: Simplify right side
    477.04x = 269,142.77
  5. Step 5: Solve for x
    x = 269,142.77/477.04
  6. Step 6: Final answer
    x = 564.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.