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Finding the Fourth Proportional to 589.12, 813.20 and 356.24

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Solution

The fourth proportional to 589.12, 813.20 and 356.24 is: 491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 813.20 = 356.24 : x
  2. Step 2: Convert to fraction form
    589.12/813.20 = 356.24/x
  3. Step 3: Cross multiply
    589.12x = 813.20 × 356.24
  4. Step 4: Simplify right side
    589.12x = 289,694.37
  5. Step 5: Solve for x
    x = 289,694.37/589.12
  6. Step 6: Final answer
    x = 491.74

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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.