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Finding the Fourth Proportional to 542.10, 810.91 and 404.80

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Solution

The fourth proportional to 542.10, 810.91 and 404.80 is: 605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 810.91 = 404.80 : x
  2. Step 2: Convert to fraction form
    542.10/810.91 = 404.80/x
  3. Step 3: Cross multiply
    542.10x = 810.91 × 404.80
  4. Step 4: Simplify right side
    542.10x = 328,256.37
  5. Step 5: Solve for x
    x = 328,256.37/542.10
  6. Step 6: Final answer
    x = 605.53

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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.