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Finding the Fourth Proportional to 571.80, 852.91 and 524.62

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Solution

The fourth proportional to 571.80, 852.91 and 524.62 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.80 : 852.91 = 524.62 : x
  2. Step 2: Convert to fraction form
    571.80/852.91 = 524.62/x
  3. Step 3: Cross multiply
    571.80x = 852.91 × 524.62
  4. Step 4: Simplify right side
    571.80x = 447,453.64
  5. Step 5: Solve for x
    x = 447,453.64/571.80
  6. Step 6: Final answer
    x = 782.54

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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.