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Finding the Fourth Proportional to 499.38, 689.26 and 313.02

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Solution

The fourth proportional to 499.38, 689.26 and 313.02 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 689.26 = 313.02 : x
  2. Step 2: Convert to fraction form
    499.38/689.26 = 313.02/x
  3. Step 3: Cross multiply
    499.38x = 689.26 × 313.02
  4. Step 4: Simplify right side
    499.38x = 215,752.17
  5. Step 5: Solve for x
    x = 215,752.17/499.38
  6. Step 6: Final answer
    x = 432.04

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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.