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Finding the Fourth Proportional to 934.81, 1,289.96 and 515.09

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Solution

The fourth proportional to 934.81, 1,289.96 and 515.09 is: 710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.81 : 1,289.96 = 515.09 : x
  2. Step 2: Convert to fraction form
    934.81/1,289.96 = 515.09/x
  3. Step 3: Cross multiply
    934.81x = 1,289.96 × 515.09
  4. Step 4: Simplify right side
    934.81x = 664,448.08
  5. Step 5: Solve for x
    x = 664,448.08/934.81
  6. Step 6: Final answer
    x = 710.79

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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.