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Finding the Fourth Proportional to 689.17, 951.13 and 514.21

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Solution

The fourth proportional to 689.17, 951.13 and 514.21 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.17 : 951.13 = 514.21 : x
  2. Step 2: Convert to fraction form
    689.17/951.13 = 514.21/x
  3. Step 3: Cross multiply
    689.17x = 951.13 × 514.21
  4. Step 4: Simplify right side
    689.17x = 489,080.56
  5. Step 5: Solve for x
    x = 489,080.56/689.17
  6. Step 6: Final answer
    x = 709.67

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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.