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Finding the Fourth Proportional to 581.42, 873.06 and 338.12

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Solution

The fourth proportional to 581.42, 873.06 and 338.12 is: 507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 873.06 = 338.12 : x
  2. Step 2: Convert to fraction form
    581.42/873.06 = 338.12/x
  3. Step 3: Cross multiply
    581.42x = 873.06 × 338.12
  4. Step 4: Simplify right side
    581.42x = 295,199.05
  5. Step 5: Solve for x
    x = 295,199.05/581.42
  6. Step 6: Final answer
    x = 507.72

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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.