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Finding the Fourth Proportional to 505.50, 698.26 and 407.62

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Solution

The fourth proportional to 505.50, 698.26 and 407.62 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.50 : 698.26 = 407.62 : x
  2. Step 2: Convert to fraction form
    505.50/698.26 = 407.62/x
  3. Step 3: Cross multiply
    505.50x = 698.26 × 407.62
  4. Step 4: Simplify right side
    505.50x = 284,624.74
  5. Step 5: Solve for x
    x = 284,624.74/505.50
  6. Step 6: Final answer
    x = 563.06

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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.