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Finding the Fourth Proportional to 602.97, 903.69 and 513.87

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Solution

The fourth proportional to 602.97, 903.69 and 513.87 is: 770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 903.69 = 513.87 : x
  2. Step 2: Convert to fraction form
    602.97/903.69 = 513.87/x
  3. Step 3: Cross multiply
    602.97x = 903.69 × 513.87
  4. Step 4: Simplify right side
    602.97x = 464,372.09
  5. Step 5: Solve for x
    x = 464,372.09/602.97
  6. Step 6: Final answer
    x = 770.15

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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.