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Finding the Fourth Proportional to 1,004.97, 1,506.95 and 419.79

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Solution

The fourth proportional to 1,004.97, 1,506.95 and 419.79 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.97 : 1,506.95 = 419.79 : x
  2. Step 2: Convert to fraction form
    1,004.97/1,506.95 = 419.79/x
  3. Step 3: Cross multiply
    1,004.97x = 1,506.95 × 419.79
  4. Step 4: Simplify right side
    1,004.97x = 632,603.59
  5. Step 5: Solve for x
    x = 632,603.59/1,004.97
  6. Step 6: Final answer
    x = 629.48

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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.