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Finding the Fourth Proportional to 689.76, 952.40 and 558.56

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Solution

The fourth proportional to 689.76, 952.40 and 558.56 is: 771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 952.40 = 558.56 : x
  2. Step 2: Convert to fraction form
    689.76/952.40 = 558.56/x
  3. Step 3: Cross multiply
    689.76x = 952.40 × 558.56
  4. Step 4: Simplify right side
    689.76x = 531,972.54
  5. Step 5: Solve for x
    x = 531,972.54/689.76
  6. Step 6: Final answer
    x = 771.24

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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.