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Finding the Fourth Proportional to 581.58, 873.18 and 338.31

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Solution

The fourth proportional to 581.58, 873.18 and 338.31 is: 507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 873.18 = 338.31 : x
  2. Step 2: Convert to fraction form
    581.58/873.18 = 338.31/x
  3. Step 3: Cross multiply
    581.58x = 873.18 × 338.31
  4. Step 4: Simplify right side
    581.58x = 295,405.53
  5. Step 5: Solve for x
    x = 295,405.53/581.58
  6. Step 6: Final answer
    x = 507.94

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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.