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Finding the Fourth Proportional to 591.72, 816.20 and 382.16

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Solution

The fourth proportional to 591.72, 816.20 and 382.16 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 816.20 = 382.16 : x
  2. Step 2: Convert to fraction form
    591.72/816.20 = 382.16/x
  3. Step 3: Cross multiply
    591.72x = 816.20 × 382.16
  4. Step 4: Simplify right side
    591.72x = 311,918.99
  5. Step 5: Solve for x
    x = 311,918.99/591.72
  6. Step 6: Final answer
    x = 527.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.