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Finding the Fourth Proportional to 665.96, 919.12 and 499.88

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Solution

The fourth proportional to 665.96, 919.12 and 499.88 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 919.12 = 499.88 : x
  2. Step 2: Convert to fraction form
    665.96/919.12 = 499.88/x
  3. Step 3: Cross multiply
    665.96x = 919.12 × 499.88
  4. Step 4: Simplify right side
    665.96x = 459,449.71
  5. Step 5: Solve for x
    x = 459,449.71/665.96
  6. Step 6: Final answer
    x = 689.91

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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.