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Finding the Fourth Proportional to 505.72, 698.36 and 478.44

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Solution

The fourth proportional to 505.72, 698.36 and 478.44 is: 660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 698.36 = 478.44 : x
  2. Step 2: Convert to fraction form
    505.72/698.36 = 478.44/x
  3. Step 3: Cross multiply
    505.72x = 698.36 × 478.44
  4. Step 4: Simplify right side
    505.72x = 334,123.36
  5. Step 5: Solve for x
    x = 334,123.36/505.72
  6. Step 6: Final answer
    x = 660.69

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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.