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Finding the Fourth Proportional to 571.05, 855.95 and 524.93

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Solution

The fourth proportional to 571.05, 855.95 and 524.93 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 855.95 = 524.93 : x
  2. Step 2: Convert to fraction form
    571.05/855.95 = 524.93/x
  3. Step 3: Cross multiply
    571.05x = 855.95 × 524.93
  4. Step 4: Simplify right side
    571.05x = 449,306.93
  5. Step 5: Solve for x
    x = 449,306.93/571.05
  6. Step 6: Final answer
    x = 786.81

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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.