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Finding the Fourth Proportional to 541.58, 813.06 and 346.55

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Solution

The fourth proportional to 541.58, 813.06 and 346.55 is: 520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.58 : 813.06 = 346.55 : x
  2. Step 2: Convert to fraction form
    541.58/813.06 = 346.55/x
  3. Step 3: Cross multiply
    541.58x = 813.06 × 346.55
  4. Step 4: Simplify right side
    541.58x = 281,761.88
  5. Step 5: Solve for x
    x = 281,761.88/541.58
  6. Step 6: Final answer
    x = 520.26

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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.