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Finding the Fourth Proportional to 542.65, 810.01 and 518.98

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Solution

The fourth proportional to 542.65, 810.01 and 518.98 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 810.01 = 518.98 : x
  2. Step 2: Convert to fraction form
    542.65/810.01 = 518.98/x
  3. Step 3: Cross multiply
    542.65x = 810.01 × 518.98
  4. Step 4: Simplify right side
    542.65x = 420,378.99
  5. Step 5: Solve for x
    x = 420,378.99/542.65
  6. Step 6: Final answer
    x = 774.68

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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.