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Finding the Fourth Proportional to 655.58, 904.63 and 379.58

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Solution

The fourth proportional to 655.58, 904.63 and 379.58 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.58 : 904.63 = 379.58 : x
  2. Step 2: Convert to fraction form
    655.58/904.63 = 379.58/x
  3. Step 3: Cross multiply
    655.58x = 904.63 × 379.58
  4. Step 4: Simplify right side
    655.58x = 343,379.46
  5. Step 5: Solve for x
    x = 343,379.46/655.58
  6. Step 6: Final answer
    x = 523.78

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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.