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Finding the Fourth Proportional to 499.82, 689.47 and 315.50

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Solution

The fourth proportional to 499.82, 689.47 and 315.50 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.82 : 689.47 = 315.50 : x
  2. Step 2: Convert to fraction form
    499.82/689.47 = 315.50/x
  3. Step 3: Cross multiply
    499.82x = 689.47 × 315.50
  4. Step 4: Simplify right side
    499.82x = 217,527.79
  5. Step 5: Solve for x
    x = 217,527.79/499.82
  6. Step 6: Final answer
    x = 435.21

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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.