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Finding the Fourth Proportional to 690.39, 1,035.54 and 203.42

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Solution

The fourth proportional to 690.39, 1,035.54 and 203.42 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 1,035.54 = 203.42 : x
  2. Step 2: Convert to fraction form
    690.39/1,035.54 = 203.42/x
  3. Step 3: Cross multiply
    690.39x = 1,035.54 × 203.42
  4. Step 4: Simplify right side
    690.39x = 210,644.37
  5. Step 5: Solve for x
    x = 210,644.37/690.39
  6. Step 6: Final answer
    x = 305.11

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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.