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Finding the Fourth Proportional to 1,068.07, 1,603.01 and 419.26

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Solution

The fourth proportional to 1,068.07, 1,603.01 and 419.26 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.07 : 1,603.01 = 419.26 : x
  2. Step 2: Convert to fraction form
    1,068.07/1,603.01 = 419.26/x
  3. Step 3: Cross multiply
    1,068.07x = 1,603.01 × 419.26
  4. Step 4: Simplify right side
    1,068.07x = 672,077.97
  5. Step 5: Solve for x
    x = 672,077.97/1,068.07
  6. Step 6: Final answer
    x = 629.25

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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.