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Finding the Fourth Proportional to 525.29, 784.69 and 422.82

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Solution

The fourth proportional to 525.29, 784.69 and 422.82 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 784.69 = 422.82 : x
  2. Step 2: Convert to fraction form
    525.29/784.69 = 422.82/x
  3. Step 3: Cross multiply
    525.29x = 784.69 × 422.82
  4. Step 4: Simplify right side
    525.29x = 331,781.57
  5. Step 5: Solve for x
    x = 331,781.57/525.29
  6. Step 6: Final answer
    x = 631.62

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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.