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Finding the Fourth Proportional to 499.80, 686.51 and 412.28

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Solution

The fourth proportional to 499.80, 686.51 and 412.28 is: 566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 686.51 = 412.28 : x
  2. Step 2: Convert to fraction form
    499.80/686.51 = 412.28/x
  3. Step 3: Cross multiply
    499.80x = 686.51 × 412.28
  4. Step 4: Simplify right side
    499.80x = 283,034.34
  5. Step 5: Solve for x
    x = 283,034.34/499.80
  6. Step 6: Final answer
    x = 566.30

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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.