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Finding the Fourth Proportional to 523.71, 785.69 and 280.47

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Solution

The fourth proportional to 523.71, 785.69 and 280.47 is: 420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.71 : 785.69 = 280.47 : x
  2. Step 2: Convert to fraction form
    523.71/785.69 = 280.47/x
  3. Step 3: Cross multiply
    523.71x = 785.69 × 280.47
  4. Step 4: Simplify right side
    523.71x = 220,361.07
  5. Step 5: Solve for x
    x = 220,361.07/523.71
  6. Step 6: Final answer
    x = 420.77

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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.