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Finding the Fourth Proportional to 499.99, 686.26 and 458.45

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Solution

The fourth proportional to 499.99, 686.26 and 458.45 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.99 : 686.26 = 458.45 : x
  2. Step 2: Convert to fraction form
    499.99/686.26 = 458.45/x
  3. Step 3: Cross multiply
    499.99x = 686.26 × 458.45
  4. Step 4: Simplify right side
    499.99x = 314,615.90
  5. Step 5: Solve for x
    x = 314,615.90/499.99
  6. Step 6: Final answer
    x = 629.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.