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Finding the Fourth Proportional to 689.34, 950.58 and 596.01

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Solution

The fourth proportional to 689.34, 950.58 and 596.01 is: 821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 950.58 = 596.01 : x
  2. Step 2: Convert to fraction form
    689.34/950.58 = 596.01/x
  3. Step 3: Cross multiply
    689.34x = 950.58 × 596.01
  4. Step 4: Simplify right side
    689.34x = 566,555.19
  5. Step 5: Solve for x
    x = 566,555.19/689.34
  6. Step 6: Final answer
    x = 821.88

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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.