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Finding the Fourth Proportional to 522.45, 782.85 and 419.19

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Solution

The fourth proportional to 522.45, 782.85 and 419.19 is: 628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 782.85 = 419.19 : x
  2. Step 2: Convert to fraction form
    522.45/782.85 = 419.19/x
  3. Step 3: Cross multiply
    522.45x = 782.85 × 419.19
  4. Step 4: Simplify right side
    522.45x = 328,162.89
  5. Step 5: Solve for x
    x = 328,162.89/522.45
  6. Step 6: Final answer
    x = 628.12

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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.