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Finding the Fourth Proportional to 571.76, 851.88 and 534.52

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Solution

The fourth proportional to 571.76, 851.88 and 534.52 is: 796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.76 : 851.88 = 534.52 : x
  2. Step 2: Convert to fraction form
    571.76/851.88 = 534.52/x
  3. Step 3: Cross multiply
    571.76x = 851.88 × 534.52
  4. Step 4: Simplify right side
    571.76x = 455,346.90
  5. Step 5: Solve for x
    x = 455,346.90/571.76
  6. Step 6: Final answer
    x = 796.40

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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.