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Finding the Fourth Proportional to 571.28, 785.64 and 454.64

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Solution

The fourth proportional to 571.28, 785.64 and 454.64 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 785.64 = 454.64 : x
  2. Step 2: Convert to fraction form
    571.28/785.64 = 454.64/x
  3. Step 3: Cross multiply
    571.28x = 785.64 × 454.64
  4. Step 4: Simplify right side
    571.28x = 357,183.37
  5. Step 5: Solve for x
    x = 357,183.37/571.28
  6. Step 6: Final answer
    x = 625.23

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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.