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Finding the Fourth Proportional to 499.01, 688.64 and 289.23

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Solution

The fourth proportional to 499.01, 688.64 and 289.23 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 688.64 = 289.23 : x
  2. Step 2: Convert to fraction form
    499.01/688.64 = 289.23/x
  3. Step 3: Cross multiply
    499.01x = 688.64 × 289.23
  4. Step 4: Simplify right side
    499.01x = 199,173.02
  5. Step 5: Solve for x
    x = 199,173.02/499.01
  6. Step 6: Final answer
    x = 399.14

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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.