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Finding the Fourth Proportional to 602.56, 903.65 and 191.80

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Solution

The fourth proportional to 602.56, 903.65 and 191.80 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 903.65 = 191.80 : x
  2. Step 2: Convert to fraction form
    602.56/903.65 = 191.80/x
  3. Step 3: Cross multiply
    602.56x = 903.65 × 191.80
  4. Step 4: Simplify right side
    602.56x = 173,314.59
  5. Step 5: Solve for x
    x = 173,314.59/602.56
  6. Step 6: Final answer
    x = 287.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.