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Finding the Fourth Proportional to 602.96, 900.41 and 515.37

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Solution

The fourth proportional to 602.96, 900.41 and 515.37 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 900.41 = 515.37 : x
  2. Step 2: Convert to fraction form
    602.96/900.41 = 515.37/x
  3. Step 3: Cross multiply
    602.96x = 900.41 × 515.37
  4. Step 4: Simplify right side
    602.96x = 464,045.10
  5. Step 5: Solve for x
    x = 464,045.10/602.96
  6. Step 6: Final answer
    x = 769.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.