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Finding the Fourth Proportional to 934.03, 1,288.99 and 514.41

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Solution

The fourth proportional to 934.03, 1,288.99 and 514.41 is: 709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.03 : 1,288.99 = 514.41 : x
  2. Step 2: Convert to fraction form
    934.03/1,288.99 = 514.41/x
  3. Step 3: Cross multiply
    934.03x = 1,288.99 × 514.41
  4. Step 4: Simplify right side
    934.03x = 663,062.90
  5. Step 5: Solve for x
    x = 663,062.90/934.03
  6. Step 6: Final answer
    x = 709.89

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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.