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Finding the Fourth Proportional to 571.52, 857.12 and 186.76

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Solution

The fourth proportional to 571.52, 857.12 and 186.76 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.52 : 857.12 = 186.76 : x
  2. Step 2: Convert to fraction form
    571.52/857.12 = 186.76/x
  3. Step 3: Cross multiply
    571.52x = 857.12 × 186.76
  4. Step 4: Simplify right side
    571.52x = 160,075.73
  5. Step 5: Solve for x
    x = 160,075.73/571.52
  6. Step 6: Final answer
    x = 280.09

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1.5x scale

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.