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Finding the Fourth Proportional to 499.64, 689.82 and 313.40

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Solution

The fourth proportional to 499.64, 689.82 and 313.40 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.64 : 689.82 = 313.40 : x
  2. Step 2: Convert to fraction form
    499.64/689.82 = 313.40/x
  3. Step 3: Cross multiply
    499.64x = 689.82 × 313.40
  4. Step 4: Simplify right side
    499.64x = 216,189.59
  5. Step 5: Solve for x
    x = 216,189.59/499.64
  6. Step 6: Final answer
    x = 432.69

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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.