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Finding the Fourth Proportional to 522.33, 782.34 and 429.99

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Solution

The fourth proportional to 522.33, 782.34 and 429.99 is: 644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.33 : 782.34 = 429.99 : x
  2. Step 2: Convert to fraction form
    522.33/782.34 = 429.99/x
  3. Step 3: Cross multiply
    522.33x = 782.34 × 429.99
  4. Step 4: Simplify right side
    522.33x = 336,398.38
  5. Step 5: Solve for x
    x = 336,398.38/522.33
  6. Step 6: Final answer
    x = 644.03

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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.