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Finding the Fourth Proportional to 505.84, 698.60 and 487.61

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Solution

The fourth proportional to 505.84, 698.60 and 487.61 is: 673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 698.60 = 487.61 : x
  2. Step 2: Convert to fraction form
    505.84/698.60 = 487.61/x
  3. Step 3: Cross multiply
    505.84x = 698.60 × 487.61
  4. Step 4: Simplify right side
    505.84x = 340,644.35
  5. Step 5: Solve for x
    x = 340,644.35/505.84
  6. Step 6: Final answer
    x = 673.42

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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.