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Finding the Fourth Proportional to 589.16, 811.32 and 515.36

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Solution

The fourth proportional to 589.16, 811.32 and 515.36 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 811.32 = 515.36 : x
  2. Step 2: Convert to fraction form
    589.16/811.32 = 515.36/x
  3. Step 3: Cross multiply
    589.16x = 811.32 × 515.36
  4. Step 4: Simplify right side
    589.16x = 418,121.88
  5. Step 5: Solve for x
    x = 418,121.88/589.16
  6. Step 6: Final answer
    x = 709.69

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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.