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Finding the Fourth Proportional to 655.14, 904.02 and 371.59

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Solution

The fourth proportional to 655.14, 904.02 and 371.59 is: 512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 904.02 = 371.59 : x
  2. Step 2: Convert to fraction form
    655.14/904.02 = 371.59/x
  3. Step 3: Cross multiply
    655.14x = 904.02 × 371.59
  4. Step 4: Simplify right side
    655.14x = 335,924.79
  5. Step 5: Solve for x
    x = 335,924.79/655.14
  6. Step 6: Final answer
    x = 512.75

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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.