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Finding the Fourth Proportional to 499.55, 688.21 and 412.07

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Solution

The fourth proportional to 499.55, 688.21 and 412.07 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.55 : 688.21 = 412.07 : x
  2. Step 2: Convert to fraction form
    499.55/688.21 = 412.07/x
  3. Step 3: Cross multiply
    499.55x = 688.21 × 412.07
  4. Step 4: Simplify right side
    499.55x = 283,586.22
  5. Step 5: Solve for x
    x = 283,586.22/499.55
  6. Step 6: Final answer
    x = 567.69

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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.