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Finding the Fourth Proportional to 477.97, 655.93 and 469.87

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Solution

The fourth proportional to 477.97, 655.93 and 469.87 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.97 : 655.93 = 469.87 : x
  2. Step 2: Convert to fraction form
    477.97/655.93 = 469.87/x
  3. Step 3: Cross multiply
    477.97x = 655.93 × 469.87
  4. Step 4: Simplify right side
    477.97x = 308,200.78
  5. Step 5: Solve for x
    x = 308,200.78/477.97
  6. Step 6: Final answer
    x = 644.82

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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.