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Finding the Fourth Proportional to 614.85, 849.32 and 571.11

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Solution

The fourth proportional to 614.85, 849.32 and 571.11 is: 788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.85 : 849.32 = 571.11 : x
  2. Step 2: Convert to fraction form
    614.85/849.32 = 571.11/x
  3. Step 3: Cross multiply
    614.85x = 849.32 × 571.11
  4. Step 4: Simplify right side
    614.85x = 485,055.15
  5. Step 5: Solve for x
    x = 485,055.15/614.85
  6. Step 6: Final answer
    x = 788.90

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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.