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Finding the Fourth Proportional to 505.59, 698.03 and 366.15

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Solution

The fourth proportional to 505.59, 698.03 and 366.15 is: 505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 698.03 = 366.15 : x
  2. Step 2: Convert to fraction form
    505.59/698.03 = 366.15/x
  3. Step 3: Cross multiply
    505.59x = 698.03 × 366.15
  4. Step 4: Simplify right side
    505.59x = 255,583.68
  5. Step 5: Solve for x
    x = 255,583.68/505.59
  6. Step 6: Final answer
    x = 505.52

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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.