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Finding the Fourth Proportional to 571.30, 789.16 and 461.20

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Solution

The fourth proportional to 571.30, 789.16 and 461.20 is: 637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.30 : 789.16 = 461.20 : x
  2. Step 2: Convert to fraction form
    571.30/789.16 = 461.20/x
  3. Step 3: Cross multiply
    571.30x = 789.16 × 461.20
  4. Step 4: Simplify right side
    571.30x = 363,960.59
  5. Step 5: Solve for x
    x = 363,960.59/571.30
  6. Step 6: Final answer
    x = 637.07

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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.