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Finding the Fourth Proportional to 571.84, 789.14 and 424.68

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Solution

The fourth proportional to 571.84, 789.14 and 424.68 is: 586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 789.14 = 424.68 : x
  2. Step 2: Convert to fraction form
    571.84/789.14 = 424.68/x
  3. Step 3: Cross multiply
    571.84x = 789.14 × 424.68
  4. Step 4: Simplify right side
    571.84x = 335,131.98
  5. Step 5: Solve for x
    x = 335,131.98/571.84
  6. Step 6: Final answer
    x = 586.06

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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.