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Finding the Fourth Proportional to 690.57, 1,035.18 and 382.14

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Solution

The fourth proportional to 690.57, 1,035.18 and 382.14 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 1,035.18 = 382.14 : x
  2. Step 2: Convert to fraction form
    690.57/1,035.18 = 382.14/x
  3. Step 3: Cross multiply
    690.57x = 1,035.18 × 382.14
  4. Step 4: Simplify right side
    690.57x = 395,583.69
  5. Step 5: Solve for x
    x = 395,583.69/690.57
  6. Step 6: Final answer
    x = 572.84

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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.