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Finding the Fourth Proportional to 589.69, 813.41 and 424.13

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Solution

The fourth proportional to 589.69, 813.41 and 424.13 is: 585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 813.41 = 424.13 : x
  2. Step 2: Convert to fraction form
    589.69/813.41 = 424.13/x
  3. Step 3: Cross multiply
    589.69x = 813.41 × 424.13
  4. Step 4: Simplify right side
    589.69x = 344,988.58
  5. Step 5: Solve for x
    x = 344,988.58/589.69
  6. Step 6: Final answer
    x = 585.03

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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.