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Finding the Fourth Proportional to 690.14, 1,034.78 and 325.16

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Solution

The fourth proportional to 690.14, 1,034.78 and 325.16 is: 487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.14 : 1,034.78 = 325.16 : x
  2. Step 2: Convert to fraction form
    690.14/1,034.78 = 325.16/x
  3. Step 3: Cross multiply
    690.14x = 1,034.78 × 325.16
  4. Step 4: Simplify right side
    690.14x = 336,469.06
  5. Step 5: Solve for x
    x = 336,469.06/690.14
  6. Step 6: Final answer
    x = 487.54

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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.