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Finding the Fourth Proportional to 499.70, 686.49 and 412.10

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Solution

The fourth proportional to 499.70, 686.49 and 412.10 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.70 : 686.49 = 412.10 : x
  2. Step 2: Convert to fraction form
    499.70/686.49 = 412.10/x
  3. Step 3: Cross multiply
    499.70x = 686.49 × 412.10
  4. Step 4: Simplify right side
    499.70x = 282,900.47
  5. Step 5: Solve for x
    x = 282,900.47/499.70
  6. Step 6: Final answer
    x = 566.14

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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.