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Finding the Fourth Proportional to 522.57, 783.84 and 180.57

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Solution

The fourth proportional to 522.57, 783.84 and 180.57 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 783.84 = 180.57 : x
  2. Step 2: Convert to fraction form
    522.57/783.84 = 180.57/x
  3. Step 3: Cross multiply
    522.57x = 783.84 × 180.57
  4. Step 4: Simplify right side
    522.57x = 141,537.99
  5. Step 5: Solve for x
    x = 141,537.99/522.57
  6. Step 6: Final answer
    x = 270.85

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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.