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Finding the Fourth Proportional to 522.29, 782.60 and 478.06

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Solution

The fourth proportional to 522.29, 782.60 and 478.06 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.29 : 782.60 = 478.06 : x
  2. Step 2: Convert to fraction form
    522.29/782.60 = 478.06/x
  3. Step 3: Cross multiply
    522.29x = 782.60 × 478.06
  4. Step 4: Simplify right side
    522.29x = 374,125.41
  5. Step 5: Solve for x
    x = 374,125.41/522.29
  6. Step 6: Final answer
    x = 716.31

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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.