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Finding the Fourth Proportional to 571.38, 852.71 and 509.88

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Solution

The fourth proportional to 571.38, 852.71 and 509.88 is: 760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 852.71 = 509.88 : x
  2. Step 2: Convert to fraction form
    571.38/852.71 = 509.88/x
  3. Step 3: Cross multiply
    571.38x = 852.71 × 509.88
  4. Step 4: Simplify right side
    571.38x = 434,777.23
  5. Step 5: Solve for x
    x = 434,777.23/571.38
  6. Step 6: Final answer
    x = 760.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.