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Finding the Fourth Proportional to 614.25, 845.98 and 571.21

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Solution

The fourth proportional to 614.25, 845.98 and 571.21 is: 786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 845.98 = 571.21 : x
  2. Step 2: Convert to fraction form
    614.25/845.98 = 571.21/x
  3. Step 3: Cross multiply
    614.25x = 845.98 × 571.21
  4. Step 4: Simplify right side
    614.25x = 483,228.69
  5. Step 5: Solve for x
    x = 483,228.69/614.25
  6. Step 6: Final answer
    x = 786.70

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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.