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Finding the Fourth Proportional to 934.57, 1,289.69 and 514.91

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Solution

The fourth proportional to 934.57, 1,289.69 and 514.91 is: 710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.57 : 1,289.69 = 514.91 : x
  2. Step 2: Convert to fraction form
    934.57/1,289.69 = 514.91/x
  3. Step 3: Cross multiply
    934.57x = 1,289.69 × 514.91
  4. Step 4: Simplify right side
    934.57x = 664,076.86
  5. Step 5: Solve for x
    x = 664,076.86/934.57
  6. Step 6: Final answer
    x = 710.57

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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.