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Finding the Fourth Proportional to 499.04, 687.84 and 382.40

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Solution

The fourth proportional to 499.04, 687.84 and 382.40 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.04 : 687.84 = 382.40 : x
  2. Step 2: Convert to fraction form
    499.04/687.84 = 382.40/x
  3. Step 3: Cross multiply
    499.04x = 687.84 × 382.40
  4. Step 4: Simplify right side
    499.04x = 263,030.02
  5. Step 5: Solve for x
    x = 263,030.02/499.04
  6. Step 6: Final answer
    x = 527.07

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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.