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Finding the Fourth Proportional to 476.02, 655.23 and 457.57

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Solution

The fourth proportional to 476.02, 655.23 and 457.57 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 655.23 = 457.57 : x
  2. Step 2: Convert to fraction form
    476.02/655.23 = 457.57/x
  3. Step 3: Cross multiply
    476.02x = 655.23 × 457.57
  4. Step 4: Simplify right side
    476.02x = 299,813.59
  5. Step 5: Solve for x
    x = 299,813.59/476.02
  6. Step 6: Final answer
    x = 629.83

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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.