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Finding the Fourth Proportional to 589.65, 813.96 and 398.05

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Solution

The fourth proportional to 589.65, 813.96 and 398.05 is: 549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 813.96 = 398.05 : x
  2. Step 2: Convert to fraction form
    589.65/813.96 = 398.05/x
  3. Step 3: Cross multiply
    589.65x = 813.96 × 398.05
  4. Step 4: Simplify right side
    589.65x = 323,993.61
  5. Step 5: Solve for x
    x = 323,993.61/589.65
  6. Step 6: Final answer
    x = 549.47

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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.