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Finding the Fourth Proportional to 589.12, 813.12 and 381.76

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Solution

The fourth proportional to 589.12, 813.12 and 381.76 is: 526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 813.12 = 381.76 : x
  2. Step 2: Convert to fraction form
    589.12/813.12 = 381.76/x
  3. Step 3: Cross multiply
    589.12x = 813.12 × 381.76
  4. Step 4: Simplify right side
    589.12x = 310,416.69
  5. Step 5: Solve for x
    x = 310,416.69/589.12
  6. Step 6: Final answer
    x = 526.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.