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Finding the Fourth Proportional to 505.43, 697.64 and 356.12

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Solution

The fourth proportional to 505.43, 697.64 and 356.12 is: 491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 697.64 = 356.12 : x
  2. Step 2: Convert to fraction form
    505.43/697.64 = 356.12/x
  3. Step 3: Cross multiply
    505.43x = 697.64 × 356.12
  4. Step 4: Simplify right side
    505.43x = 248,443.56
  5. Step 5: Solve for x
    x = 248,443.56/505.43
  6. Step 6: Final answer
    x = 491.55

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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.