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Finding the Fourth Proportional to 499.54, 689.64 and 313.21

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Solution

The fourth proportional to 499.54, 689.64 and 313.21 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.54 : 689.64 = 313.21 : x
  2. Step 2: Convert to fraction form
    499.54/689.64 = 313.21/x
  3. Step 3: Cross multiply
    499.54x = 689.64 × 313.21
  4. Step 4: Simplify right side
    499.54x = 216,002.14
  5. Step 5: Solve for x
    x = 216,002.14/499.54
  6. Step 6: Final answer
    x = 432.40

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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.