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Finding the Fourth Proportional to 690.33, 1,035.68 and 324.70

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Solution

The fourth proportional to 690.33, 1,035.68 and 324.70 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,035.68 = 324.70 : x
  2. Step 2: Convert to fraction form
    690.33/1,035.68 = 324.70/x
  3. Step 3: Cross multiply
    690.33x = 1,035.68 × 324.70
  4. Step 4: Simplify right side
    690.33x = 336,281.08
  5. Step 5: Solve for x
    x = 336,281.08/690.33
  6. Step 6: Final answer
    x = 487.13

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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.