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Finding the Fourth Proportional to 522.29, 782.40 and 392.43

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Solution

The fourth proportional to 522.29, 782.40 and 392.43 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.29 : 782.40 = 392.43 : x
  2. Step 2: Convert to fraction form
    522.29/782.40 = 392.43/x
  3. Step 3: Cross multiply
    522.29x = 782.40 × 392.43
  4. Step 4: Simplify right side
    522.29x = 307,037.23
  5. Step 5: Solve for x
    x = 307,037.23/522.29
  6. Step 6: Final answer
    x = 587.87

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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.