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Finding the Fourth Proportional to 604.72, 902.71 and 517.51

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Solution

The fourth proportional to 604.72, 902.71 and 517.51 is: 772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 902.71 = 517.51 : x
  2. Step 2: Convert to fraction form
    604.72/902.71 = 517.51/x
  3. Step 3: Cross multiply
    604.72x = 902.71 × 517.51
  4. Step 4: Simplify right side
    604.72x = 467,161.45
  5. Step 5: Solve for x
    x = 467,161.45/604.72
  6. Step 6: Final answer
    x = 772.53

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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.