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Finding the Fourth Proportional to 522.73, 782.51 and 376.13

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Solution

The fourth proportional to 522.73, 782.51 and 376.13 is: 563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 782.51 = 376.13 : x
  2. Step 2: Convert to fraction form
    522.73/782.51 = 376.13/x
  3. Step 3: Cross multiply
    522.73x = 782.51 × 376.13
  4. Step 4: Simplify right side
    522.73x = 294,325.49
  5. Step 5: Solve for x
    x = 294,325.49/522.73
  6. Step 6: Final answer
    x = 563.05

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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.