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Finding the Fourth Proportional to 571.28, 852.16 and 502.88

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Solution

The fourth proportional to 571.28, 852.16 and 502.88 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 852.16 = 502.88 : x
  2. Step 2: Convert to fraction form
    571.28/852.16 = 502.88/x
  3. Step 3: Cross multiply
    571.28x = 852.16 × 502.88
  4. Step 4: Simplify right side
    571.28x = 428,534.22
  5. Step 5: Solve for x
    x = 428,534.22/571.28
  6. Step 6: Final answer
    x = 750.13

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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.