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Finding the Fourth Proportional to 605.66, 912.65 and 505.22

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Solution

The fourth proportional to 605.66, 912.65 and 505.22 is: 761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 912.65 = 505.22 : x
  2. Step 2: Convert to fraction form
    605.66/912.65 = 505.22/x
  3. Step 3: Cross multiply
    605.66x = 912.65 × 505.22
  4. Step 4: Simplify right side
    605.66x = 461,081.94
  5. Step 5: Solve for x
    x = 461,081.94/605.66
  6. Step 6: Final answer
    x = 761.29

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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.