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Finding the Fourth Proportional to 505, 697.85 and 386.88

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Solution

The fourth proportional to 505, 697.85 and 386.88 is: 534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 697.85 = 386.88 : x
  2. Step 2: Convert to fraction form
    505/697.85 = 386.88/x
  3. Step 3: Cross multiply
    505x = 697.85 × 386.88
  4. Step 4: Simplify right side
    505x = 269,984.21
  5. Step 5: Solve for x
    x = 269,984.21/505
  6. Step 6: Final answer
    x = 534.62

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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.