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Finding the Fourth Proportional to 616.45, 849.94 and 536.57

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Solution

The fourth proportional to 616.45, 849.94 and 536.57 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.45 : 849.94 = 536.57 : x
  2. Step 2: Convert to fraction form
    616.45/849.94 = 536.57/x
  3. Step 3: Cross multiply
    616.45x = 849.94 × 536.57
  4. Step 4: Simplify right side
    616.45x = 456,054.68
  5. Step 5: Solve for x
    x = 456,054.68/616.45
  6. Step 6: Final answer
    x = 739.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.