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Finding the Fourth Proportional to 614.45, 849.01 and 491.12

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Solution

The fourth proportional to 614.45, 849.01 and 491.12 is: 678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 849.01 = 491.12 : x
  2. Step 2: Convert to fraction form
    614.45/849.01 = 491.12/x
  3. Step 3: Cross multiply
    614.45x = 849.01 × 491.12
  4. Step 4: Simplify right side
    614.45x = 416,969.14
  5. Step 5: Solve for x
    x = 416,969.14/614.45
  6. Step 6: Final answer
    x = 678.61

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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.