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Finding the Fourth Proportional to 689.72, 949.50 and 597.74

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Solution

The fourth proportional to 689.72, 949.50 and 597.74 is: 822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 949.50 = 597.74 : x
  2. Step 2: Convert to fraction form
    689.72/949.50 = 597.74/x
  3. Step 3: Cross multiply
    689.72x = 949.50 × 597.74
  4. Step 4: Simplify right side
    689.72x = 567,554.13
  5. Step 5: Solve for x
    x = 567,554.13/689.72
  6. Step 6: Final answer
    x = 822.88

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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.