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Finding the Fourth Proportional to 655.85, 905.05 and 361.13

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Solution

The fourth proportional to 655.85, 905.05 and 361.13 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.85 : 905.05 = 361.13 : x
  2. Step 2: Convert to fraction form
    655.85/905.05 = 361.13/x
  3. Step 3: Cross multiply
    655.85x = 905.05 × 361.13
  4. Step 4: Simplify right side
    655.85x = 326,840.71
  5. Step 5: Solve for x
    x = 326,840.71/655.85
  6. Step 6: Final answer
    x = 498.35

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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.