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Finding the Fourth Proportional to 589.65, 813.24 and 412.55

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Solution

The fourth proportional to 589.65, 813.24 and 412.55 is: 568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 813.24 = 412.55 : x
  2. Step 2: Convert to fraction form
    589.65/813.24 = 412.55/x
  3. Step 3: Cross multiply
    589.65x = 813.24 × 412.55
  4. Step 4: Simplify right side
    589.65x = 335,498.10
  5. Step 5: Solve for x
    x = 335,498.10/589.65
  6. Step 6: Final answer
    x = 568.98

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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.