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Finding the Fourth Proportional to 602.70, 906.08 and 513.60

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Solution

The fourth proportional to 602.70, 906.08 and 513.60 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 906.08 = 513.60 : x
  2. Step 2: Convert to fraction form
    602.70/906.08 = 513.60/x
  3. Step 3: Cross multiply
    602.70x = 906.08 × 513.60
  4. Step 4: Simplify right side
    602.70x = 465,362.69
  5. Step 5: Solve for x
    x = 465,362.69/602.70
  6. Step 6: Final answer
    x = 772.13

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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.