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Finding the Fourth Proportional to 540.92, 810.42 and 284.12

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Solution

The fourth proportional to 540.92, 810.42 and 284.12 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 810.42 = 284.12 : x
  2. Step 2: Convert to fraction form
    540.92/810.42 = 284.12/x
  3. Step 3: Cross multiply
    540.92x = 810.42 × 284.12
  4. Step 4: Simplify right side
    540.92x = 230,256.53
  5. Step 5: Solve for x
    x = 230,256.53/540.92
  6. Step 6: Final answer
    x = 425.68

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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.