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Finding the Fourth Proportional to 589.59, 881.64 and 517.15

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Solution

The fourth proportional to 589.59, 881.64 and 517.15 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.59 : 881.64 = 517.15 : x
  2. Step 2: Convert to fraction form
    589.59/881.64 = 517.15/x
  3. Step 3: Cross multiply
    589.59x = 881.64 × 517.15
  4. Step 4: Simplify right side
    589.59x = 455,940.13
  5. Step 5: Solve for x
    x = 455,940.13/589.59
  6. Step 6: Final answer
    x = 773.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.