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Finding the Fourth Proportional to 690.84, 1,035.72 and 325.44

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Solution

The fourth proportional to 690.84, 1,035.72 and 325.44 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,035.72 = 325.44 : x
  2. Step 2: Convert to fraction form
    690.84/1,035.72 = 325.44/x
  3. Step 3: Cross multiply
    690.84x = 1,035.72 × 325.44
  4. Step 4: Simplify right side
    690.84x = 337,064.72
  5. Step 5: Solve for x
    x = 337,064.72/690.84
  6. Step 6: Final answer
    x = 487.91

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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.