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Finding the Fourth Proportional to 606, 913.20 and 505.56

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Solution

The fourth proportional to 606, 913.20 and 505.56 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 913.20 = 505.56 : x
  2. Step 2: Convert to fraction form
    606/913.20 = 505.56/x
  3. Step 3: Cross multiply
    606x = 913.20 × 505.56
  4. Step 4: Simplify right side
    606x = 461,677.39
  5. Step 5: Solve for x
    x = 461,677.39/606
  6. Step 6: Final answer
    x = 761.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.