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Finding the Fourth Proportional to 1,066.99, 1,600.56 and 409.18

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Solution

The fourth proportional to 1,066.99, 1,600.56 and 409.18 is: 613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.99 : 1,600.56 = 409.18 : x
  2. Step 2: Convert to fraction form
    1,066.99/1,600.56 = 409.18/x
  3. Step 3: Cross multiply
    1,066.99x = 1,600.56 × 409.18
  4. Step 4: Simplify right side
    1,066.99x = 654,911.64
  5. Step 5: Solve for x
    x = 654,911.64/1,066.99
  6. Step 6: Final answer
    x = 613.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.