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Finding the Fourth Proportional to 571.54, 855.20 and 340.54

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Solution

The fourth proportional to 571.54, 855.20 and 340.54 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 855.20 = 340.54 : x
  2. Step 2: Convert to fraction form
    571.54/855.20 = 340.54/x
  3. Step 3: Cross multiply
    571.54x = 855.20 × 340.54
  4. Step 4: Simplify right side
    571.54x = 291,229.81
  5. Step 5: Solve for x
    x = 291,229.81/571.54
  6. Step 6: Final answer
    x = 509.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.