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Finding the Fourth Proportional to 589.19, 816.97 and 569.68

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Solution

The fourth proportional to 589.19, 816.97 and 569.68 is: 789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.19 : 816.97 = 569.68 : x
  2. Step 2: Convert to fraction form
    589.19/816.97 = 569.68/x
  3. Step 3: Cross multiply
    589.19x = 816.97 × 569.68
  4. Step 4: Simplify right side
    589.19x = 465,411.47
  5. Step 5: Solve for x
    x = 465,411.47/589.19
  6. Step 6: Final answer
    x = 789.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.