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Finding the Fourth Proportional to 541.26, 810.37 and 419.76

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Solution

The fourth proportional to 541.26, 810.37 and 419.76 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.26 : 810.37 = 419.76 : x
  2. Step 2: Convert to fraction form
    541.26/810.37 = 419.76/x
  3. Step 3: Cross multiply
    541.26x = 810.37 × 419.76
  4. Step 4: Simplify right side
    541.26x = 340,158.81
  5. Step 5: Solve for x
    x = 340,158.81/541.26
  6. Step 6: Final answer
    x = 628.46

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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.