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Finding the Fourth Proportional to 689.95, 949.31 and 596.40

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Solution

The fourth proportional to 689.95, 949.31 and 596.40 is: 820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 949.31 = 596.40 : x
  2. Step 2: Convert to fraction form
    689.95/949.31 = 596.40/x
  3. Step 3: Cross multiply
    689.95x = 949.31 × 596.40
  4. Step 4: Simplify right side
    689.95x = 566,168.48
  5. Step 5: Solve for x
    x = 566,168.48/689.95
  6. Step 6: Final answer
    x = 820.59

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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.