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Finding the Fourth Proportional to 589.61, 813.44 and 412.85

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Solution

The fourth proportional to 589.61, 813.44 and 412.85 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 813.44 = 412.85 : x
  2. Step 2: Convert to fraction form
    589.61/813.44 = 412.85/x
  3. Step 3: Cross multiply
    589.61x = 813.44 × 412.85
  4. Step 4: Simplify right side
    589.61x = 335,828.70
  5. Step 5: Solve for x
    x = 335,828.70/589.61
  6. Step 6: Final answer
    x = 569.58

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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.