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Finding the Fourth Proportional to 690.63, 1,035.73 and 203.56

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Solution

The fourth proportional to 690.63, 1,035.73 and 203.56 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.63 : 1,035.73 = 203.56 : x
  2. Step 2: Convert to fraction form
    690.63/1,035.73 = 203.56/x
  3. Step 3: Cross multiply
    690.63x = 1,035.73 × 203.56
  4. Step 4: Simplify right side
    690.63x = 210,833.20
  5. Step 5: Solve for x
    x = 210,833.20/690.63
  6. Step 6: Final answer
    x = 305.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.