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Finding the Fourth Proportional to 690.62, 1,035.90 and 325.67

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Solution

The fourth proportional to 690.62, 1,035.90 and 325.67 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.62 : 1,035.90 = 325.67 : x
  2. Step 2: Convert to fraction form
    690.62/1,035.90 = 325.67/x
  3. Step 3: Cross multiply
    690.62x = 1,035.90 × 325.67
  4. Step 4: Simplify right side
    690.62x = 337,356.37
  5. Step 5: Solve for x
    x = 337,356.37/690.62
  6. Step 6: Final answer
    x = 488.49

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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.