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Finding the Fourth Proportional to 541.29, 810.45 and 284.25

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Solution

The fourth proportional to 541.29, 810.45 and 284.25 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 810.45 = 284.25 : x
  2. Step 2: Convert to fraction form
    541.29/810.45 = 284.25/x
  3. Step 3: Cross multiply
    541.29x = 810.45 × 284.25
  4. Step 4: Simplify right side
    541.29x = 230,370.41
  5. Step 5: Solve for x
    x = 230,370.41/541.29
  6. Step 6: Final answer
    x = 425.60

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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.