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Finding the Fourth Proportional to 610.11, 910.78 and 522.50

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Solution

The fourth proportional to 610.11, 910.78 and 522.50 is: 779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.11 : 910.78 = 522.50 : x
  2. Step 2: Convert to fraction form
    610.11/910.78 = 522.50/x
  3. Step 3: Cross multiply
    610.11x = 910.78 × 522.50
  4. Step 4: Simplify right side
    610.11x = 475,876.69
  5. Step 5: Solve for x
    x = 475,876.69/610.11
  6. Step 6: Final answer
    x = 779.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.