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Finding the Fourth Proportional to 689.04, 949.32 and 557.82

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Solution

The fourth proportional to 689.04, 949.32 and 557.82 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 949.32 = 557.82 : x
  2. Step 2: Convert to fraction form
    689.04/949.32 = 557.82/x
  3. Step 3: Cross multiply
    689.04x = 949.32 × 557.82
  4. Step 4: Simplify right side
    689.04x = 529,549.68
  5. Step 5: Solve for x
    x = 529,549.68/689.04
  6. Step 6: Final answer
    x = 768.53

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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.