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Finding the Fourth Proportional to 571.02, 852.04 and 536.19

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Solution

The fourth proportional to 571.02, 852.04 and 536.19 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 852.04 = 536.19 : x
  2. Step 2: Convert to fraction form
    571.02/852.04 = 536.19/x
  3. Step 3: Cross multiply
    571.02x = 852.04 × 536.19
  4. Step 4: Simplify right side
    571.02x = 456,855.33
  5. Step 5: Solve for x
    x = 456,855.33/571.02
  6. Step 6: Final answer
    x = 800.07

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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.