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Finding the Fourth Proportional to 522.70, 785.26 and 514.20

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Solution

The fourth proportional to 522.70, 785.26 and 514.20 is: 772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 785.26 = 514.20 : x
  2. Step 2: Convert to fraction form
    522.70/785.26 = 514.20/x
  3. Step 3: Cross multiply
    522.70x = 785.26 × 514.20
  4. Step 4: Simplify right side
    522.70x = 403,780.69
  5. Step 5: Solve for x
    x = 403,780.69/522.70
  6. Step 6: Final answer
    x = 772.49

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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.