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Finding the Fourth Proportional to 505.94, 697.46 and 435.69

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Solution

The fourth proportional to 505.94, 697.46 and 435.69 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 697.46 = 435.69 : x
  2. Step 2: Convert to fraction form
    505.94/697.46 = 435.69/x
  3. Step 3: Cross multiply
    505.94x = 697.46 × 435.69
  4. Step 4: Simplify right side
    505.94x = 303,874.17
  5. Step 5: Solve for x
    x = 303,874.17/505.94
  6. Step 6: Final answer
    x = 600.62

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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.