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Finding the Fourth Proportional to 571.14, 788.54 and 423.59

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Solution

The fourth proportional to 571.14, 788.54 and 423.59 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 788.54 = 423.59 : x
  2. Step 2: Convert to fraction form
    571.14/788.54 = 423.59/x
  3. Step 3: Cross multiply
    571.14x = 788.54 × 423.59
  4. Step 4: Simplify right side
    571.14x = 334,011.60
  5. Step 5: Solve for x
    x = 334,011.60/571.14
  6. Step 6: Final answer
    x = 584.82

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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.