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Finding the Fourth Proportional to 541.72, 813.30 and 425.80

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Solution

The fourth proportional to 541.72, 813.30 and 425.80 is: 639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.72 : 813.30 = 425.80 : x
  2. Step 2: Convert to fraction form
    541.72/813.30 = 425.80/x
  3. Step 3: Cross multiply
    541.72x = 813.30 × 425.80
  4. Step 4: Simplify right side
    541.72x = 346,303.14
  5. Step 5: Solve for x
    x = 346,303.14/541.72
  6. Step 6: Final answer
    x = 639.27

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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.